Seasonal population dynamics of ticks, and its influence on infection transmission: A semi-discrete approach

被引:0
|
作者
Mini Ghosh
Andrea Pugliese
机构
[1] Massey University,Institute of Information and Mathematical Sciences
[2] Università di Trento,Dipartimento di Matematica
来源
Bulletin of Mathematical Biology | 2004年 / 66卷
关键词
Lyme Disease; Positive Equilibrium; Host Density; Endemic Equilibrium; Infected Larva;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a simple semi-discrete (ticks’ feeding is assumed to occur only during the summers of each year) model for tick population dynamics is presented. Conditions for existence, uniqueness, and stability of a positive equilibrium are found; the system is then studied numerically using parameter estimates calibrated for the tick Ixodes ricinus in Trentino, Italy, and the sensitivity to parameters is examined.
引用
收藏
页码:1659 / 1684
页数:25
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