Spatial dynamics of a generalized cholera model with nonlocal time delay in a heterogeneous environment. (English) Zbl 07901383
This work formulates a generalized cholera model with nonlocal time delays to explore the impact of bacterial hyperinfectivity on cholera epidemics in spatially heterogeneous environments. It addresses significant mathematical challenges by simultaneously considering the growth of hyperinfectious and lower-infectious states of V. cholerae. The authors introduce three basic reproduction numbers for hyperinfectious, lower-infectious, and overall cholera disease, establishing global threshold dynamics. Notably, they find that the basic reproduction number of infection decreases with the diffusion coefficients of infectious hosts under certain conditions.
Reviewer: Hongying Shu (Xi’an)
MSC:
| 35K57 | Reaction-diffusion equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 37C75 | Stability theory for smooth dynamical systems |
| 92B05 | General biology and biomathematics |
| 92D30 | Epidemiology |
Keywords:
cholera epidemic; bacterial hyperinfectivity; heterogeneous environment; nonlocal infection; basic reproduction number; globally asymptotically stableReferences:
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