Modification of Nicholson–Bailey model under refuge effects with stability, bifurcation, and chaos control
| Autor: | Umer Saeed, Muhammad Iqbal, Waqas Ishaque, Qamar Din |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Mechanical Engineering
Aerospace Engineering 01 natural sciences Stability (probability) 010305 fluids & plasmas CHAOS (operating system) Mechanics of Materials 0103 physical sciences Automotive Engineering Applied mathematics General Materials Science Nicholson–Bailey model Control (linguistics) 010301 acoustics Bifurcation Axiom Mathematics |
| Zdroj: | Journal of Vibration and Control. 28:3524-3538 |
| ISSN: | 1741-2986 1077-5463 |
| DOI: | 10.1177/10775463211034021 |
| Popis: | In this article, a modification is proposed for the classical Nicholson–Bailey model. It is assumed that the modified model follows all axioms of Nicholson–Bailey model except that in every generation a fraction of the hosts have a safe refuge from attack of parasitoids. It is investigated that under this assumption the modified model has stable coexistence. Furthermore, Neimark–Sacker bifurcation is interrogated at positive steady-state of modified model by implementing the normal forms theory of bifurcation. Chaos control methods based on perturbation of parameter and state feedback strategy are implemented to escape the trajectories from bifurcating and chaotic behavior. Furthermore, numerical simulations are carried out for illustration of theoretical discussion. Finally, all theoretical discussion is illustrated by taking into account real observed field data of host–parasitoid interaction. |
| Databáze: | OpenAIRE |
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