Dynamical response of an eco-epidemiological system with harvesting
| Autor: | Harekrishna Das, Absos Ali Shaikh |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Hopf bifurcation
Applied Mathematics Limit cycle oscillation Optimal control 01 natural sciences Stability (probability) 010101 applied mathematics Computational Mathematics symbols.namesake Control theory 0103 physical sciences Interior equilibrium symbols 0101 mathematics 010301 acoustics Predator Disease transmission Mathematics |
| Zdroj: | Journal of Applied Mathematics and Computing. 65:67-91 |
| ISSN: | 1865-2085 1598-5865 |
| DOI: | 10.1007/s12190-020-01379-8 |
| Popis: | This article presents a study of Leslie–Gower predator–prey system to investigate the dynamics of disease transmission among predator species. The system includes the harvesting of infected predator. The positivity, boundedness of the solutions and permanence of the system are taken into consideration. The stability and Hopf bifurcation analyses around biologically feasible equilibria are scrutinized. The harvesting of infected predator plays a crucial role for the occurrence of limit cycle oscillations and stability around the interior equilibrium point. Our results disclose that infected predator harvesting has a considerable consequence on the eco-epidemiological system. The optimal control theory has been applied to investigate optimal strategies for controlling the infection. Analytical findings are confirmed through numerical simulations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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