On a periodic age-structured mosquito population model with spatial structure

This paper deals with a general age-structured model with diffusion. The existence and uniqueness of solutions of the equivalent integral equation are obtained in light of the contraction mapping theorem. By taking the mosquito population growth as a motivating example, we derive a periodic stage-structured model with diffusion, intra-specific competition and periodic delay. Next, we show that the solution is globally bounded for the setup we chose. Then, the basic reproduction number R-0 for this model is introduced to establish the threshold dynamics on mosquito extinction and persistence in terms of R-0. In the case where intra-specific competition among immature individuals is ignored, the adult equation is decoupled from the full equations, and the global stability of the positive periodic solution is then obtained by introducing a suitable phase space on which the periodic semiflow is eventually strongly monotone and strictly subhomogeneous. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper discusses a general age-structured model with diffusion, covering factors such as intra-specific competition and periodic delay. The concept of basic reproduction number R-0 is introduced to establish threshold dynamics on mosquito extinction and persistence. The global stability of the positive periodic solution is obtained by decoupling the adult equation and introducing a suitable phase space.