ncts

In this talk, we examine the predator-prey models in a spatially heterogeneous region where the dispersal of predators is nonuniform, a process known as prey-induced dispersal (PYID). We incorporate the perceptual constraints of species in our model and examine how PYID affects the dynamics and coexistence of the system. Our analysis is based on a Holling-type II functional response model under no-flux boundary conditions. We analyze the local stability of the semi-trivial solution in models with PYID and linear dispersal in the absence of predators. Furthermore, we investigate the local and global bifurcation from the semi-trivial solution in models with two different dispersals. Our results show that if a predator's satisfaction with the prey density is higher than a certain level, it may not be beneficial in terms of their fitness. Meanwhile, if predators change their motility when they are appropriately satisfied with the amount of prey, they will obtain a survival advantage. Additionally, if time allowed, we discuss competition models with starvation-driven diffusions (SDD) and perceptual constraints of species.