Mosquito-Stage-Structured Malaria Models and Their Global Dynamics
Autor(es): Ai, Shangbing; Li, Jia; Lu, Junliang
Resumo: We formulate mosquito-stage-structured, continuous-time, compartmental, malaria models which include four distinct metamorphic stages of mosquitoes. We derive a formula for the reproductive number of infection and investigate the existence of endemic equilibria. We determine conditions under which the models undergo either forward or backward bifurcation. We carry out rigorous mathematical analysis on the model dynamics by proving the global stability of the infection-free equilibrium while a forward bifurcation occurs, and the global stability of the endemic equilibrium as the reproductive number is greater than one in certain cases. Our study can be also applied to other diseases such as Chikungunya fever.
Palavras-Chave: Malaria transmission; Epidemic models; Endemic equilibrium; Global stability; Backward bifurcation; Lyapunov function
Imprenta: Siam Journal on Applied Mathematics, v. 72, n. 4, p. 1213-1237, 2012
Identificador do objeto digital: 10.1137/110860318
Descritores: Aedes aegypti - Chikungunya Fever
Data de publicação: 2012
