In this paper, a Leslie-type predator–prey system with simplified Holling type IV functional
response and strong Allee effect on prey is proposed. The dissipativity of the system and the …

In this paper, a modified Leslie-type predator–prey model with simplified Holling type IV
functional response is established, in which double Allee effect on prey and nonlinear prey …

In this study, we examine the plant–herbivore discrete model of apple twig borer and grape
vine interaction, with a particular emphasis on the extended weak-predator response to …

The interaction between plants and herbivores is one of the most fundamental processes in
ecology. Discrete-time models are frequently used for describing the dynamics of plants and …

This paper studies the behavior of a plant–herbivore model including both differential and
difference equations. To analyze global behavior of the model, we consider the solution of …

This paper is concerned with a predator–prey model of Leslie type with simplified Holling
type IV functional response, provided that it has either a unique nondegenerate positive …

The dynamical behaviors of a Leslie type predator–prey system are explored when the
functional response is increasing for both predator and prey. Qualitative and quantitative …

The interaction between plants and herbivores plays a vital role for understanding
community dynamics and ecosystem function given that they are the critical link between …

This research focuses on the interaction between the grape borer and grapevine using a
discrete-time plant-herbivore model with Allee's effect. We specifically investigate a model …

Using geometric singular perturbation theory, this paper investigates the canard
phenomenon of a slow–fast Rosenzweig–MacArthur model. The model incorporates …