A two-species predator–prey plankton model is studied, where the grazing pressure of
microzooplankton on phytoplankton is controlled through external infochemical mediated …

In this paper, the dynamic behavior of a space-and time-discrete predator–prey system with
Smith growth function is studied. Through the stability analysis, the parametric conditions are …

Spatial patterning is a fascinating theme in both theoretical and experimental ecology. It
reveals resilience and stability to withstand external disturbances and environmental …

Intertidal mussels can self-organize into periodic spot, stripe, labyrinth, and gap patterns
ranging from centimeter to meter scales. The leading mathematical explanations for these …

In this paper, we consider a time fractional-order derivative for a diffusive mussel–algae
model. The existence of pattern formation was the subject of interest of many previous …

Spatial patterns are ubiquitous in nature, which have been identified as important factors in
dynamics of ecosystems. However, how pattern structures have influence on persistence of …

In this paper, we consider a predator–prey model with herd behavior and cross-diffusion
subject to homogeneous Neumann boundary condition. Firstly, the existence and priori …

Understanding dynamical complexity of alien species invasion is an important and timely
issue as it is believed that identification of possible invasion scenarios may result in a more …

This paper examines the dynamic behavior of a particular category of discrete predator‐prey
system that feature both fear effect and refuge, using both analytical and numerical methods …

Spatiotemporal dynamics in a ratio-dependent predator–prey model with diffusion is studied
by analytical methods. Normal forms associated with codimension-two Hopf–Turing …