Analysis of a diffusive two-strain malaria model with the carrying capacity of the environment for mosquitoes  

作　　者：Jinliang Wang Wenjing Wu Yuming Chen 

机构地区：[1]Engineering Research Center of Agricultural Microbiology Technology,Ministry of Education&Heilongjiang Provincial Key Laboratory of Ecological Restoration and Resource Utilization for Cold Region&School of Mathematical Science,Heilongjiang University,Harbin,150080,PR China [2]Department of Mathematics,Wilfrid Laurier University,Waterloo,Ontario,N2L 3C5,Canada

出　　处：《Infectious Disease Modelling》2024年第3期931-962,共32页传染病建模（英文）

基　　金：This research was partially supported by the National Natural Science Foundation of China(Nos.12071115,11871179);the Heilongjiang Natural Science Funds for Distinguished Young Scholar(No.JQ2023A005),and Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems(JW);NSERC of Canada(No.RGPIN-2019-05892)(YC).

摘　　要：We propose a malaria model involving the sensitive and resistant strains,which is described by reaction-diffusion equations.The model reflects the scenario that the vector and host populations disperse with distinct diffusion rates,susceptible individuals or vectors cannot be infected by both strains simultaneously,and the vector population satisfies the logistic growth.Our main purpose is to get a threshold type result on the model,especially the interaction effect of the two strains in the presence of spatial structure.To solve this issue,the basic reproduction number(BRN)R_(0)^(i)and invasion reproduction number(IRN)R_(0)^(i)of each strain(i=1 and 2 are for the sensitive and resistant strains,respectively)are defined.Furthermore,we investigate the influence of the diffusion rates of populations and vectors on BRNs and IRNs.

关 键 词：Threshold dynamics Two-strain malaria model Competition and coexistence Reproduction number 

分 类 号：R531.3[医药卫生—内科学]