{"paper":{"title":"Boundedness enforced by mildly saturated conversion in a chemotaxis-May-Nowak model for virus infection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mario Fuest","submitted_at":"2018-09-28T11:00:30Z","abstract_excerpt":"We study the system \\begin{align*} \\label{prob:star} \\tag{$\\star$}\n  \\begin{cases}\n  u_t = \\Delta u - \\nabla \\cdot (u \\nabla v) - u - f(u) w + \\kappa, \\\\\n  v_t = \\Delta v - v + f(u) w, \\\\\n  w_t = \\Delta w - w + v,\n  \\end{cases} \\end{align*} which models the virus dynamics in an early stage of an HIV infection, in a smooth, bounded domain $\\Omega \\subset \\mathbb R^n, n \\in \\mathbb N,$ for a parameter $\\kappa \\ge 0$ and a given function $f \\in C^1([0, \\infty))$ satisfying $f \\ge 0$, $f(0) = 0$ and $f(s) \\le K_f s^\\alpha$ for all $s \\ge 1$, some $K_f \\gt 0$ and $\\alpha \\in \\mathbb R$.\n  We prove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10960","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}