Erlang mixture approximations with the linear chain trick convert distributed delay DDEs into ODEs, with convergence proofs for bounded kernels and applications to stability analysis.
Smith, An introduction to delay differential equations with applications to the life sciences , vol
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On Erlang mixture approximations for differential equations with distributed time delays
Erlang mixture approximations with the linear chain trick convert distributed delay DDEs into ODEs, with convergence proofs for bounded kernels and applications to stability analysis.