On the dynamics of a deterministic and stochastic model for mosquito control

被引：14
|
作者：
Predescu, M.
Sirbu, G.
Levins, R.
Awerbuch-Friedlander, T.
机构：
[1] Bentley Coll, Dept Math, Waltham, MA 02452 USA
[2] Harvard Univ, Sch Publ Hlth, Dept Populat & Int Hlth, Boston, MA 02115 USA
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 08期
关键词：
nonlinear difference equations; global stability; attracting intervals; stochasticity;
D O I：
10.1016/j.aml.2006.12.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we analyze a system of nonlinear difference equations describing community intervention in mosquito control. More specifically, we extend the model given in [M. Predescu, R. Levins, T. Awerbuch, Analysis of a nonlinear system for community intervention in mosquito control, Discrete Contin. Dyn. Syst. Ser. B 6 (3) (2006) 605-622] to allow for consciousness to be created in an ongoing way by educational efforts that are independent of the presence of mosquito breeding sites. In order to quantify the effect of random external events, such as weather or public concerns, we consider a stochastic version of the model. Numerical simulations show that the stochastic model is consistent with the deterministic one. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：919 / 925
页数：7
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