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

共 50 条

[1] Vector-Borne Diseases
Schmolz, G.
Oehme, R.
Kimmig, P.
[J]. GESUNDHEITSWESEN, 2015, 77 (10) : 775 - 789
[2] Vector-borne diseases
Gubler, D. J.
[J]. REVUE SCIENTIFIQUE ET TECHNIQUE-OFFICE INTERNATIONAL DES EPIZOOTIES, 2009, 28 (02): : 583 - 588
[3] Vector-borne diseases
More, Simon
Bicout, Dominique
Botner, Anette
Butterworth, Andrew
Calistri, Paolo
De Koeijer, Aline
Depner, Klaus
Edwards, Sandra
Garin-Bastuji, Bruno
Good, Margaret
Schmidt, Christian Gortazar
Michel, Virginie
Miranda, Miguel Angel
Nielsen, Soren Saxmose
Raj, Mohan
Sihvonen, Liisa
Spoolder, Hans
Thulke, Hans-Hermann
Velarde, Antonio
Willeberg, Preben
Winckler, Christoph
Bau, Andrea
Beltran-Beck, Beatriz
Carnesecchi, Edoardo
Casier, Pascal
Czwienczek, Ewelina
Dhollander, Sofie
Georgiadis, Marios
Gogin, Andrey
Pasinato, Luca
Richardson, Jane
Riolo, Francesca
Rossi, Gianluca
Watts, Matthew
Lima, Eliana
Stegeman, Jan Arend
[J]. EFSA JOURNAL, 2017, 15 (05)
[4] Vector-borne diseases in pregnancy
O'Kelly, Brendan
Lambert, John S.
[J]. THERAPEUTIC ADVANCES IN INFECTIOUS DISEASE, 2020, 7
[5] Vector-borne diseases and their control
Jutta Klasen
Birgit Habedank
[J]. Parasitology Research, 2008, 103 : 1 - 2
[6] Bedbugs and Vector-Borne Diseases
Zorrilla-Vaca, Andres
[J]. CLINICAL INFECTIOUS DISEASES, 2014, 59 (09) : 1351 - 1352
[7] Vector-Borne Viral Diseases
Wang, Penghua
Bai, Fengwei
Cheng, Gong
Dai, Jianfeng
Conway, Michael J.
[J]. BIOMED RESEARCH INTERNATIONAL, 2015, 2015
[8] Emerging Vector-Borne Diseases
Huntington, Mark K.
Allison, Jay
Nair, Dilip
[J]. AMERICAN FAMILY PHYSICIAN, 2016, 94 (07) : 551 - 557
[9] VECTOR-BORNE DISEASES AND THEIR CONTROL
RUSSELL, RC
[J]. MEDICAL JOURNAL OF AUSTRALIA, 1993, 158 (10) : 681 - &
[10] Vector-borne diseases and their control
Klasen, Jutta
Habedank, Birgit
[J]. PARASITOLOGY RESEARCH, 2008, 103 (Suppl 1) : S1 - S2

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