Analysis of Stability Criteria in the Host-Parasitoid System - A Mathematical Approach

Abstract

Nicholson Bailey model (NB-1930) [7]. In this paper the modified NB model is applied to host parasitoid system and the stability criteria were analysed and illustrated.

Stability analysis of a host-parasitoid model with logistic growth using allee effect

“…In this section, we investigate the local behaviour of our model around each equilibrium point. The stability analysis of our model can be studied by computing the variation matrix corresponding to each fixed point [3], [8]. The variation matrix of the model at the state variable is given by,…”

“…b -Number of parasitoids which develop from one parasitized host. Further, the functions g and f define the density dependence in host population growth and the fraction of hosts which can escape from parasitism, respectively [3], [4]. Allee effect in a discrete-time predatorprey system was studied by Canan Celik and Oktay Duman [1].…”