This work investigated the dynamics of a prey-taxis model with modified Leslie-Gower and hunting cooperation. Using energy estimates combined with a newly developed weighted technique, we proved that solutions remain globally bounded in both two or higher dimensions, provided the prey-taxis coefficient is sufficiently small. Furthermore, by constructing a suitable Lyapunov functional, we analyzed the large-time behavior of solutions under some conditions.

This paper investigates the prey-stage structure within a quasilinear prey-taxis model defined in a smooth bounded domain in arbitrary-dimensional spaces. When the exponents of the nonlinear diffusion function and the nonlinear prey-taxis sensitivity function satisfy appropriate conditions, the global boundedness of the solution is established through the application of coupling estimation technique and Moser iteration.