6 papers
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…
Factorization of Scalar Piecewise Continuous Almost Periodic Functions
Liangping Qi, Rong Yuan
This paper is to characterize piecewise continuous almost periodic functions as the product of Bohr almost periodic functions and sequences. As an application, the result is used t…
Massera Type Theorem for Abstract Functional Differential Equations
Qing Liu, Nguyen Van Minh, G. Nguerekata +1
The paper is concerned with conditions for the existence of almost periodic solutions of the following abstract functional differential equation $ \dot u(t) = Au(t) + [{\cal B}u](t…