Local Dynamics of a Discrete-time Host-Parasitoid Model

 We examine a non-dimensionalized Nicholson and Bailey discrete-time host-parasitoid model in this chapter. Phase portraits are created for several parameter ranges to display the system’s intricate dynamics. We do the bifurcation analysis for the intrinsic growth rate r and the searching efficiency a. Numerous complicated dynamics, such as chaos and periodic windows, are visible. We provide a path to chaotic dynamics via period-doubling bifurcations. For b a, where a, b are searching efficiency, conditions of occurrence of the period-doubling, Neimark-Sacker, and saddle-node bifurcations are investigated. We look at stable and unstable manifolds for different equilibrium points and the presence of different attractors at this non-dimensionalized system. In the absence of the Ricker model, the host population exhibits behaviours that are consistent with parasitoid With the intraspecific information gained from the current work, we were better able to understand the dynamical behaviour of host-parasitoid interactions, which may be used to improve the conventional biological management of parasitoids.

Author(s) Details:

Tahmineh Azizi,
Department of Mechanical Engineering, Florida State University, Tallahassee, FL, USA.

Please see the link here: https://stm.bookpi.org/NRAMCS-V6/article/view/7768  

Keywords: Chaos, neimark-sacker bifurcation, period-doubling bifurcations, manifold, saddle-node bifurcation

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