Understanding the impacts of extreme weather on biological control through traveling wave analysis of a prey-predator model.

ABSTRACT: This study investigates the effects of extreme weather events on the efficacy of biological control of invasive species using a prey-predator reaction-diffusion model with the Allee effect. The model incorporates weather and environmental factors that affect species mortality, growth, and interaction rates. We first derive exact traveling wave solutions of the reduced model using the generalized exponential rational function method. The stability of the wave solutions is then numerically confirmed by demonstrating that the model solutions, perturbed by various levels of noise in the initial condition, converge to the traveling wave solutions. This suggests that extreme weather events that only impact the initial population sizes have only transient effects and do not change the fate of the

SUBMITTER: Aktar MS 

PROVIDER: S-EPMC12612096 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature