3 papers
math.AP2026
Global boundedness and stabilization for a three-component reaction-diffusion model with dual-dependent motility
Hai-Yang Jin, Jingyi Mai
In this paper, we consider the initial-boundary value problem of a three-component reaction-diffusion system with dual-dependent motility, which depends on both the chemical concen…
math.AP2026
Parabolic-elliptic reduction suppresses Hopf bifurcation in a forager-exploiter system with cascade taxis
Huaizhi Cao, Jiawei Chu, Hai-Yang Jin
We study a parabolic-elliptic forager-exploiter model describing the cascade interaction between two species through a shared environmental resource with a constant renewal rate. W…
math.AP2026
Periodic dynamics in a forager-exploiter system under homogeneous and heterogeneous resource environments
Huaizhi Cao, Jiawei Chu, Hai-Yang Jin
We investigate time-periodic dynamics in a forager-exploiter system with a taxis cascade under both homogeneous and heterogeneous resource environments. The model describes the int…