Interspecies competition between prey and two different predators with Holling IV functional response in diffusive system
| Autor: | Anal Chatterjee, Samares Pal |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Hopf bifurcation
education.field_of_study 010102 general mathematics Population Functional response Critical value 01 natural sciences Stability (probability) Instability 010101 applied mathematics Computational Mathematics symbols.namesake Maximum principle Computational Theory and Mathematics Ecosystem model Modeling and Simulation symbols Quantitative Biology::Populations and Evolution Applied mathematics 0101 mathematics education Mathematical economics Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 71:615-632 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2015.12.022 |
| Popis: | This paper deals with a prey-middle predator-top predator ecosystem model with Holling type IV predator response in the unreserved zone. The model system is studied analytically and the threshold values for the existence and stability of various steady states are worked out. The global stability analysis is carried out. It is observed that if the intrinsic growth rate of prey population crosses a certain critical value, the system enters into Hopf bifurcation. The existence of bionomic equilibrium of the system has been discussed. Further, we study a path of optimal harvesting policy by introducing the Pontryagins maximum principle. Moreover we have found out a condition for diffusive instability of a locally stable equilibrium. Finally, some numerical simulations are performed to justify analytical findings. |
| Databáze: | OpenAIRE |
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