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

摘要

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