A metapopulation model for the population dynamics of anopheles mosquito

作者：

Highlights：

• A reaction–diffusion model for the dynamics of anopheles mosquito in a network is designed.

• A fixed-point theorem is used to establish the existence, uniqueness of a nontrivial equilibrium.

• A threshold parameter is computed, sensitivity analysis of parameters and variables are given.

• The monotone operator theory is used to prove the GAS of trivial and positive equilibriums.

• Assessment of mosquito dispersal, patch heterogeneity on the dynamics of mosquito is given.

摘要

•A reaction–diffusion model for the dynamics of anopheles mosquito in a network is designed.•A fixed-point theorem is used to establish the existence, uniqueness of a nontrivial equilibrium.•A threshold parameter is computed, sensitivity analysis of parameters and variables are given.•The monotone operator theory is used to prove the GAS of trivial and positive equilibriums.•Assessment of mosquito dispersal, patch heterogeneity on the dynamics of mosquito is given.

论文关键词：Anopheles mosquito,Dispersal,Monotone system,Stability analysis,Metapopulation,Simulation

论文评审过程：Received 22 August 2016, Revised 9 February 2017, Accepted 27 February 2017, Available online 20 March 2017, Version of Record 20 March 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.02.039