Dynamical complexity in a predator-prey eco-epidemical system

Effects of the relationship between species and environment on an eco-epidemiological system are investigated. And periodic variation is also added to the disharmony parameter. The dynamic behaviors of the system are simulated numerically. A variety of complex population dynamics including stable state, periodic resonance and chaos are obtained. The most important result is that harmony relationship between prey species and environment is benefit for the controlling of disease. Our result reinforces the conjecture that the relationship between species and environment is crucial to transmission of infectious disease.