A Mathematical Study of a Two Species Eco-Epidemiological Model with Different Predation Principles
| Autor: | Nurul Huda Gazi, Aktar Saikh |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Equilibrium point
Control and Optimization Computational Mechanics Disease free Statistical and Nonlinear Physics Octant (solid geometry) Stability (probability) Predation Limit cycle Quantitative Biology::Populations and Evolution Discrete Mathematics and Combinatorics Applied mathematics Uniform boundedness Uniqueness Mathematics |
| Zdroj: | The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 9:309-325 |
| ISSN: | 2164-6414 2164-6376 |
| DOI: | 10.5890/dnc.2020.06.011 |
| Popis: | This paper formulates and analyzes a predator-prey model with disease in the prey. Mathematical analysis of the model system concerns the existence, uniqueness and uniform boundedness of solutions in the positive octant. The threshold condition for epidemic and the conditions for persistence are obtained. Moreover, the system is analyzed for local stability, global stability around several equilibria. Hopf-bifurcation with its nature and the stability of the bifurcating limit cycle are studied around the disease free equilibrium point. Numerical simulations are performed to justify the analytical findings. Eco-epidemilogical significance and implications of the concluded results are discussed as well. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|