Global analysis of an environmental and death transmission model for Ebola outbreak with perturbation. (English) Zbl 1477.34077
Summary: In this paper, we inspect the global asymptotic stability (GAS) of Ebola-epidemic using a modified Susceptible-Infected-Deceased-Pathogen (SIDP) model with perturbation. The feasible region is obtained, and we determine the basic reproduction number using the next-generation matrix method. The GAS of the disease-free and endemic equilibria are discuss and provide parameter conditions for which the stability exists. We show theoretically that the contaminated environmental Ebola human-deceased transmission model is GAS with and without probability. Numerical simulation to support our theoretical findings are presented.
MSC:
| 34D10 | Perturbations of ordinary differential equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 92B05 | General biology and biomathematics |
Keywords:
global analysis; environmental transmission; death transmission; ebola outbreak; stochastic differential equationReferences:
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