Abstract
<abstract><p>In this paper, the Holling type Ⅱ functional response extended for n different species of prey and the dynamics of interactions between one predator species and its n different classes of prey are modeled. Positivity, boundedness and permanence of all solutions of the model are proved. An ecological threshold parameter for the predator free equilibrium point of the model is established. Local stability and global stability of the predator free equilibrium point are discussed. Furthermore, we also studied that the reproduction number <italic>R</italic><sub>0</sub> determines whether the equilibrium points are asymptotically stable or unstable. In addition, the model was solved numerically to confirm the analytical results.</p></abstract>
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
