A BASIC GENERAL MODEL OF VECTOR-BORNE DISEASES

被引：4

作者：

Tchoumi, S. Y. ^{[1
]}

Kamgang, J. C. ^{[2
]}

Tieudjo, D. ^{[2
]}

Sallet, G. ^{[3
]}

机构：

[1] Univ Ngaoundere, Fac Sci, Dept Math & Comp Sci, POB 454, Ngaoundere, Cameroon

[2] Univ NGaoundere, ENSAI, Dept Math & Comp Sci, POB 455, Ngaoundere, Cameroon

[3] Univ Metz, INRIA, Lorraine & Lab Mathmat & Applicat Metz, CNRS,UMR 7122, F-57045 Metz 01, France

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2018年

关键词：

epidemiological model; sensitivity analysis; basic reproduction number; global asymptotic stability; bifurcation; simulation;

D O I：

10.28919/cmbn/3485

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a model that can translate the dynamics of vector-borne diseases, for this model we compute the basic reproduction number and show that if R-0 < zeta < 1 the DFE is globally asymptotically stable. For R-0 > 1 we prove the existence of a unique endemic equilibrium and if R-0 <= 1 the system can have one or two endemic equilibrium, we also show the existence of a backward bifurcation. By numerical simulations we illustrate with data on malaria all the results including existence, stability and bifurcation.

引用

页数：25

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