Animal search patterns are governed by the various movement strategies undertaken when
animals encounter stimuli. The stimuli caused by resource growth and depletion can modify
search patterns due to the need to finding resources. In this paper, we investigate the
influence of resource depletion on the dynamics of dispersal of a population which is related
to diffusion or anomalous diffusion. Our approach is to develop a population level model
using partial differential equations that takes into account rules for movement based on the …