Special Session 13: Nonlinear differential and difference equations with applications to population dynamics

Seasonal influence on age-structured invasive species with yearly generation

Jian Fang
Harbin Institute of Technology
Peoples Rep of China
Co-Author(s):    
Abstract:
How do seasonal successions influence the propagation dynamics of an age-structured invasive species? We investigate this problem by considering the scenario that the offsprings are reproduced in spring and then reach maturation in fall within the same year. For this purpose, a reaction-diffusion population model is proposed, with yearly periodic time delay and spatially nonlocal response caused by the periodic developmental process. Further, we find some complex spatiotemporal dynamics for this model.