A Mathematical Model to Break the Life Cycle of Anopheles Mosquito.

lranian journal of Clinical Infectious Diseases

MA Yau¹ 

[1] Lecturer, Department of Mathematical Sciences, Nasarawa State University, Keffi, Nigeria

关键词: Mathematical model;    Anopheles Mosquito;    Equilibrium states;    Reproduction number;   

DOI  :  10.17795/semj20445

学科分类：基础医学

来源: Shiraz University of Medical Sciences

【 摘 要 】

Abstract::AmathematicalmodeltobreakthelifecycleofanophelesmosquitoIsderived,aimedatcontrollingoreradicatingmosquitobyintroductionofnaturalenemy#8220;copepods#8221;(anorganismthateatsupmosquitoatlarvastage).Therebyreducingthemenaceofmalariaparasiteinoursocieties.Themodelequationsarederivedusingthemodelparameters.ThestabilityofthefreeequilibriumstatesisanalyzedusingtheideaofBeltramiandDiekmann.FromthestabilityanalysisweobservethatR0#60;1Owhichimpliesthatthemodelfreeequilibriumstateislocallyasymptoticallystable.Hencethenumberoflarvathatwouldtransformtopupaisalmostzeroandthatmeansthelifecyclecanbebrokenatthelarvastagewiththeintroductionofnaturalenemy.

【 授权许可】

Unknown