VERTICALLY TRANSMITTED VECTOR-BORNE DISEASES
AND THE EFFECTS OF EXTREME TEMPERATURE
Kbenesh W. Blayneh
Department of Mathematics
Florida A&M University
Tallahassee, FL 32307, USA

Abstract

An existing compartmental model of vector-borne diseases is considered to incorporate vertical transmissions in the vector and the host populations. The effects of extrinsic incubation rate of the disease causing pathogen in mosquitoes on the epidemic as well as the endemic nature of the disease are assessed for different values of model parameters. Our numerical simulations indicate that if measures such as personal protection and mosquito control are intensified, then the negative effects of weather-enhanced parameters could be significantly diminished. The effectiveness of these measures is also shown to reduce epidemic levels due to vertical transmissions in the vector as well as the host populations. The existence of a backward bifurcation and its reactions to changes of parameters reacting to temperature increase and the global stability of the disease-free equilibrium, under some conditions are analytically established.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 2
Year: 2017

DOI: 10.12732/ijam.v30i2.8

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