Abstract In this paper, a diffusive predator-prey system with prey-taxis response subject to Neumann boundary conditions is considered. The stability, the Hopf bifurcation, existence of nonconstant steady states, and stability bifurcation solutions are analyzed. It proved that high level can stabilize system, positive equilibrium changed when χ crosses $\chi _{0}$ <mml:math xmlns:mml="http://ww...

Abstract Existence of predator is routinely used to induce fear and anxiety in prey which well known for shaping entire ecosystem. Fear predation restricts the development promotes inducible defense communities survival. Motivated by this fact, we investigate dynamics a Leslie–Gower model with group fearful prey. We obtain conditions under system possess unique global-in-time solutions determin...

Abstract. For an eco-epidemic model with disease in the prey and periodic coefficients it is conjectured in [Xingge Niu, Tailei Zhang, Zhidong Teng, The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey, Applied Mathematical Modelling 35, 457-470 (2011)] that, when the infected prey is permanent, there is a positive periodic orbit that is globally asymptotically...

Spatial heterogeneity (patchiness) in certain predator-prey situations has been observed even though their environment appears homogeneous. As a model mechanism to explain this patchiness phenomenon we propose a predator-prey interaction system with diffusive effects. We show that when the diffusion of the prey is small compared with that of the predator the non-linearity which we call a hump e...

Various characteristics of population and community dynamics of freshwater zooplankton have been studied in the past, in attempts to increase our knowledge of how freshwater ecosystems function. A major leap forward in disentangling ecosystem processes was the discovery of communication based on chemical cues (infochemicals) in the early 1980s. Infochemicals were found to affect many aspects of...