The Influence of Environment on a Prey-taxi System

From the dynamic point of view we numerically investigate the influence of predator-prey interactions, the death rates, chemotaxis and diffusivity upon the ability of survival of multiple consumer levels in a closed environment with self-produced nutriment. First we construct a mathematical prey-taxis system to model the real situation. Then we deal with the effects of diffusivity, conversion efficiency and chemotaxis on the predator-prey micro-organism populations and how all the parameters work together to determine the existence of consumer levels by the numerical method.