Multi-patch epidemic models with partial mobility, residency, and demography

The emergence and re-emergence of infectious diseases has been a global cause concern in the past few decades. Previous research field revealed that human connectivity mobility behavior play major role spreading an disease. In this work, we propose multi-patch models take into account effects on evolution disease dynamics multi-population environment. particular, develop SEIRS multi-group epidemic models, extending work Bichara et al. (2015) Abderrahman (2018) to practically for distinct epidemiological-status-dependent mobilities each patch. We rigorously show free equilibria (DFE) both are stable when R0≤1. also prove have unique endemic asymptotically equilibrium R0>1. addition, introduce new local reproduction numbers from point view sub-populations, establish some important relation between them number. Various numerical simulations conducted study residence time matrix individual patches overall