栖息地扩张对埃及伊蚊种群影响的模型分析

Modeling the Impact of Habitat Growth on Aedes Aegypti Population

为了解栖息地范围的扩张对埃及伊蚊扩散产生的影响,我们将埃及伊蚊分为有翼蚊子和水生蚊子两个亚种群,构建了一类具有区域变化的伊蚊反应扩散模型.通过特征值问题和上下解方法研究了区域的变化对解的长期渐近行为的动力学影响,最后给出数值模拟和模型动力学解释.我们的研究结果表明栖息地的扩大会提高埃及伊蚊扩张的风险.

In order to understand the impact of habitat expansion on the spread of Aedes aegypti,we divide Aedes aegypti into two subpopulations:winged mosquitoes and aquatic mosquitoes.And a reaction-diffusion model of Aedes aegypti with regional variation is constructed.By means of the eigenvalue problem and upper-lower solutions method,we study the dynamical effect of the region variation on the long-term asymptotic behavior of the solution.Finally,the numerical simulation and the dynamic explanation of model are given.Our results suggest that habitat expansion increases the risk of Aedes aegypti diffusion.