Qualitative Analysis of a Nicholson-Bailey Model in Patchy Environment

We studied a host-parasite model qualitatively. The host-parasitoid is obtained by modifying the Nicholson-Bailey so that number of hosts parasitoids can't attack fixed. Topological classification equilibria achieved with implementation linearization. Furthermore, Neimark-Sacker bifurcation explored using theory normal forms at interior steady-state. in controlled implementing two control strategies. theoretical studies are backed up numerical simulations, which show conclusions and their importance.