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Paper Citation Record · LEDGER

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects

As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.08895.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.08895 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:34:05.620421Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact25
  • verified fuzzy2
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2feacb48-7eb8-4d17-ae86-6d0d1eda803b · outbound

This paper cites Kumar, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Kumar, S

Reference 1

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raw_fallback, observed 2026-08-06T18:34:06.500708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0511d239-cb26-487a-bf41-25128f1b1be8 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 2

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verified exact
doi, observed 2026-08-06T18:34:06.198926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5e96f912-eb9e-44ba-966c-7d003b890796 · outbound

This paper cites Charles, V.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Charles, V

Reference 3

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.175503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 811ccc11-1bcc-467a-9476-f44139807300 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.151356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.370882Z digest=sha256:b841552ff8ae7545ae123359909a68ecc0c163bc85dd864728fbd4df20274d54

Observation 14f57367-741d-4845-9ef1-3869d041f04a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.719594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.380248Z digest=sha256:ba1dd33ddd600e93358787530b0cd431ed4fba22a926eabcccd2537cd5eb9b0f

Observation 9388b6fb-94bf-4a5f-bf21-fc050b2b99f6 · outbound

This paper cites Cleaveland, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Cleaveland, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:34:06.693308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.390508Z digest=sha256:f1785a101e69da31e9d4d63cf6c92401a874f080db8a15ae8809f0702ea0115a

Observation 48c4430a-3763-42bf-9e97-1f986b9e992a · outbound

This paper cites Minja, Tanzania: Ministry to raise awareness on rabies disease, Tanzania Daily News (Dar es Salaam)Accessed on June 26, 2025 (September 20 2023).

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Minja, Tanzania: Ministry to raise awareness on rabies disease, Tanzania Daily News (Dar es Salaam)Accessed on June 26, 2025 (September 20 2023)

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:34:06.402947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.396622Z digest=sha256:aad8b3173ee0eb0107893ad83deb802efac5d762f4749cd1526ef869ac1c0f8a

Observation 6c71a811-b9bd-4bd1-ae96-daba56793b6c · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.122184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.401705Z digest=sha256:85b3a8f997003e236580a38bbd778adce0f9d0550588249354029a4360324e55

Observation 5cc49cfc-d02a-42f4-a26d-0c465f59930d · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.095748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.414464Z digest=sha256:9d20616e10951630ed5e9e0ed3b30dd079faed88a6c045c9daa37f65d4fc3910

Observation 608a543b-f6f3-4408-b622-23c3a2cf7f93 · outbound

This paper cites Velasco-Villa, L.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Velasco-Villa, L

Reference 10

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verified exact
doi, observed 2026-08-06T18:34:06.069307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.423085Z digest=sha256:f34211063ac601416cf315515095460116b37fde25fd030e0c22c1add4fd5175

Observation 30395e31-5f90-4884-bd18-3552890387be · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.663497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 17cc9e4d-45b4-4a23-821b-a6690d1208ef · outbound

This paper cites Hampson, L.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Hampson, L

Reference 12

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.048924Z

Source-reported events for the cited work

correction dated 2015-05-11. Source: crossref record 10.1371/journal.pntd.0003786->10.1371/journal.pntd.0003709:correction, observed 2026-07-11T03:02:03.908903+00:00. This notice travels one citation hop only.

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Observation 95f079bf-f53e-44c0-b29c-ed1ea3d4c741 · outbound

This paper cites Changalucha, R.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Changalucha, R

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.032756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a63570de-4b11-4239-afbb-d78c81f3d62a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-06T18:34:06.012836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 66b09b40-3bed-49dd-a64b-98f5e23644b0 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.992691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.464989Z digest=sha256:0ef93cbf9f499fd99deaf13cb30a4de63685b8a93e32b05e17baaff51f15c9bb

Observation c735f05a-22a2-42c8-8b1a-0567ecc8aa8a · outbound

This paper cites Abdulmajid, A.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Abdulmajid, A

Reference 16

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.970770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.471810Z digest=sha256:67fc0127dc284aa4d4df07b422fc1e7da5fcdaf0147c244265bccdbe37cb89c9

Observation 924ebba6-a0d9-4c45-8cdc-4fa86b7521ba · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 17

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.940486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.477121Z digest=sha256:a58854504277d465ca169f27fd4f22b3dd02ddda0db8b89cd36f8bb74a86b4d3

Observation f30106af-4a7c-4763-8603-f1f79a7819a2 · outbound

This paper cites Castillo-Chavez, Z.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Castillo-Chavez, Z

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:34:06.641653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.483625Z digest=sha256:b930eb235513dd570800b48ca46d502b48af995f42bda7651e5b4b018eca4e0a

Observation de30f381-37a2-497e-b978-baddda69f4ac · outbound

This paper cites Stoddart, Existence of optimal controls, Pacific Journal of Mathematics 20 (1) (1967) 167–177.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Stoddart, Existence of optimal controls, Pacific Journal of Mathematics 20 (1) (1967) 167–177

Reference 19

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.906577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.488285Z digest=sha256:e0e88d89beb73633c5b6e458796f69ec85281a5581f41ac7f12bee30fa222a06

Observation 93eed78a-4da6-4546-a1d0-732c53bafe5d · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 20

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verified exact
raw_fallback, observed 2026-08-06T18:34:06.307702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.496614Z digest=sha256:72a4e82e4aacec0a42557110fc7a04a3137220bebe3cd20a6c1f985090afa947

Observation bbd43e6f-daf5-4607-9766-7280f6ec858a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 21

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T18:34:06.620306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.504265Z digest=sha256:1a4fc61bbc79a2e0b73e47e26d2585054385ad018cc287a5f8b93bd8de79371e

Observation 0edb82f8-653b-4717-ba56-b77de641567c · outbound

This paper cites Yamada, K.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Yamada, K

Reference 22

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.882464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.511357Z digest=sha256:80ac64d2c10bf6f681971f97b567b3aee3945c6edf379dba6babe5ca7bc15c3a

Observation dd293c57-55c2-4801-beca-4f18f7db7eae · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.863374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a6e0859f-39cb-42ab-88f8-b0ca8a2f265f · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T18:34:06.602314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3fd29d8c-5128-445c-9461-65107ad12453 · outbound

This paper cites Campos, C.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Campos, C

Reference 25

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.833876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.535990Z digest=sha256:6d89e757dd232f58ec4eaf9105667248f5eb9e1760c4b9211b5030bd009116a4

Observation 17715896-361d-4b58-b46b-cf486715fc23 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.808279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.554448Z digest=sha256:aa0786ca143e492d09248391ee0504fbfe2ee8d18a96e1457a2b52a0da402f3d

Observation afab2c11-2fc3-4ea8-aabc-a931a0c40714 · outbound

This paper cites Zhang, Z.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Zhang, Z

Reference 27

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.787906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.558890Z digest=sha256:2122064c92438f44514035af294909318efc776a43dd9302f9d0db96e99df869

Observation 3e9b4023-e43a-4345-acf3-45340585f7f2 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.572309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.566169Z digest=sha256:c82f27e56c18cea826883d4d6234170b06a8caac55bbc3ae2bfe8760d8c1b3d8

Observation 05983d9b-4d33-4794-96ea-3fa35aa54e2a · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.549669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.573776Z digest=sha256:7722d00251a235c70590fb7bece158aa74940a8a8d23f2aec5695b66b6bece24

Observation 8b5a21fc-5a6d-4fae-a94b-9f7738eb7cb2 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:34:06.528283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.584619Z digest=sha256:7970721e7dc7f8d9d7e0a9ec3f163549a6440f8b576c7d2b3949e2ea343a6a7c

Observation 23966339-083e-4014-b861-70e83901d670 · outbound

This paper cites Hampson, F.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Hampson, F

Reference 31

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.765900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.593149Z digest=sha256:b62c069569348c55ad5ddd17d0465bc6315c29299ef1279eff849ccd416485cb

Observation 35a9bc8a-241b-4b2f-9d9a-a7b448c27e4a · outbound

This paper cites Ruan, Spatiotemporal epidemic models for rabies among animals, Infectious disease modelling 2 (3) (2017) 277–287.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Ruan, Spatiotemporal epidemic models for rabies among animals, Infectious disease modelling 2 (3) (2017) 277–287

Reference 32

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.734450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.599020Z digest=sha256:539925edcfec1c5f747690d68fd9a3e7dca9d1fe0a3d862c073e915fdf15dbaa

Observation 3bb192e6-081f-4dd4-9f61-bff728bf4744 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.711696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.609221Z digest=sha256:9c70b24c3e5db311577cd2b078553e5ed753797e311b671baa2429897330c355

Observation b1ee134d-6913-4614-bd37-31a03c7e0d75 · outbound

This paper cites an unresolved cited work.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects Unresolved cited work

Reference 34

Resolution
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doi, observed 2026-08-06T18:34:05.686922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.614088Z digest=sha256:f5a34376ed28a7e2a9cab84fc05d03b2adb4b0d84ff2869852a225f067ddfc42

Observation e1bdf3ad-5259-4986-88cd-739270267236 · outbound

This paper cites G¨ um¨ u¸ s, S.

A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs with Environmental Effects G¨ um¨ u¸ s, S

Reference 35

Resolution
verified exact
doi, observed 2026-08-06T18:34:05.665147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:34:05.620421Z digest=sha256:9cca2de93a6ca296941ae1cad233f9101a17a79fb4cd4ef855bf61ef5ebd0e56

Pith citing papers

No inbound Pith citation observations are available.