文章基本信息

标题：A mathematical model of the population dynamics of disease-transmitting vectors with spatial consideration
本地全文：下载
作者：Siewe Nourridine ; Miranda I. Teboh-Ewungkem ; Gideon A. Ngwa 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2011
卷号：5
期号：4
页码：335-365
DOI：10.1080/17513758.2010.508540
出版社：Taylor & Francis
摘要：A deterministic model with spatial consideration for a class of human disease-transmitting vectors is presented and analysed. The model takes the form of a nonlinear system of delayed ordinary differential equations in a compartmental framework. Using the model, existence conditions of a non-trivial steady-state vector population are obtained when more than one breeding site and human habitat site are available. Model analysis confirms the existence of a non-trivial steady state, uniquely determined by a threshold parameter, , whose value depends on the distribution and distance of breeding site j to human habitats. Results are based on the existence of a globally and asymptotically stable non-trivial steady-state human population. The explicit form of the Hopf bifurcation, initially reported by Ngwa [ On the population dynamics of the malaria vector , Bull. Math. Biol. 68 (2006), pp. 2161–2189], is also obtained and used to show that the vector population oscillates with time. The modelling exercise points to the possibility of spatial–temporal patterns and oscillatory behaviour without external seasonal forcing.
关键词：vector-breeding sites and human habitat; Hopf bifurcation; flight range domain; population dynamics; compartmental framework