4 papers · 2 filters
A sufficient condition on successful invasion by the predator
Hongliang Li, Min Zhao, Rong Yuan
In this paper, we provide a sufficient condition on successful invasion by the predator. Specially, we obtain the persistence of traveling wave solutions of predator-prey system, i…
Traveling Waves of Modified Leslie-Gower Predator-prey Systems
Hongliang Li, Min Zhao, Rong Yuan
The spreading phenomena in modified Leslie-Gower reaction-diffusion predator-prey systems are the topic of this paper. We mainly study the existence of two different types of trave…
Traveling Wave in a Ratio-dependent Holling-Tanner System with Nonlocal Diffusion and Strong Allee Effect
Hongliang Li, Min Zhao, Rong Yuan
In this paper, a ratio-dependent Holling-Tanner system with nonlocal diffusion is taken into account, where the prey is subject to a strong Allee effect. To be special, by applying…
Existence and Stability of Random Transition Waves for Nonautonomous Fisher-KPP Equations with Nonlocal Diffusion
Min Zhao, Rong Yuan
In this paper, we study the existence and stability of random transition waves for time heterogeneous Fisher-KPP Equations with nonlocal diffusion. More specifically, we consider g…