Background The incidence of autism spectrum disorders (ASD) is on the rise. Currently, 1 in
59 children are identified with ASD in the United States. ASD refers to a range of …

In this paper, we investigate the global boundedness, asymptotic stability and pattern
formation of predator–prey systems with density-dependent prey-taxis in a two-dimensional …

In this paper, we consider a predator–prey model with herd behavior and prey‐taxis subject
to the homogeneous Neumann boundary condition. First, by analyzing the characteristic …

The role of predator evasion mediated by chemical signaling is studied in a diffusive prey–
predator model when prey-taxis is taken into account (model A) or not (model B) with taxis …

This paper concerns the reaction–diffusion systems modeling the population dynamics of
two predators and one prey with nonlinear prey-taxis. We first investigate the global …

Prey-taxis, which describe the directed movement of the predator species, is introduced into
the Previte–Hoffman model. Steady-state bifurcation is investigated in such model with the …

In this paper, we consider a reaction–diffusion system of the population dynamics of two
predators and one prey with prey-taxis and competition. We prove the global existence and …

$\begin {eqnarray*}\label {1a}\left\{\begin {split}{} &u_t=\Delta (d_ {1}(w) u)+\gamma_ {1} uF_
{1}(w)-uh_ {1}(u)-\beta_ {1} uv, & (x, t)\in\Omega\times (0,\infty),\\&v_t=\Delta (d_ {2}(w) …

Apparent competition is an indirect interaction between species that share natural resources
without any mutual aggression but negatively affect each other if there is a common enemy …

In this paper, we propose and analyze a reaction-diffusion model for predator-prey
interaction, featuring both prey and predator taxis mediated by nonlocal sensing. Both …