Abstract
We consider a predator-prey model where parasitic infection is spread in only predator population. We work out the local stability analysis of equilibrium point by the help of basic reproduction numbers. We also analyze the community structure of model system by the help of ecological as well as disease basic reproduction numbers. We derive Hopf bifurcation condition and permanence and impermanence of model system. We perform a numerical experiment and observe that parasitic infection in predator population stabilizes predator-prey oscillations.
Highlights
The effect of disease in ecological system is an important issue from mathematical as well as ecological point of view
We know that the infectious disease plays important roles in the dynamics of a predatorprey system with infection in prey 5, 33
We have focused our study in observing the role of infection rate upon predator-prey dynamics
Summary
The effect of disease in ecological system is an important issue from mathematical as well as ecological point of view. In recent time ecologists and researchers are paying more and more attention to the development of important tool along with experimental ecology and describe how ecological species are infected. Most models for the transmission of infectious diseases originated from the classic work of Kermack and Mc Kendrick 1. After these pioneering works in two different fields, lots of research works have been done both in theoretical ecology and epidemiology. Anderson and May 2 were the first who merged the above two fields and formulated a predator-prey model where prey species were infected by some disease. In the subsequent time many authors 3–7 proposed and studied different predator-prey models in presence of disease
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
