Stability analysis of a host parasite model

Abstract

Host parasite models are similar to host parasitoid models except that the parasite does not necessarily kill the host. Leslie/Gower model (Leslie and Gower in Biometrika 47(3/4):219-234, 1960) played a historical role in ecology. We consider the stability of Misra and Mitra's model (Misra and Mitra in Comput. Math. Appl. 52: 525-538, 2006). We study this system analytically and improve the results of Misra and Mitra (Comput. Math. Appl. 52: 525-538, 2006).