Abstract
This paper deals with predator-prey eco-epidemiological model where an infectious disease among fish population is non-linearly transmitted in a reserve area. Then the disease is transmitted indirectly to the predator population during their feeding process. At the time of harvesting, both the susceptible and the infected prey population are harvested. When the nonlinear disease transmission and the inhibition effect on the dynamical behavior of the prey are measured, the number of infected individuals increases. The model in this study is analyzed in term of boundedness, and local and global stability under certain conditions and Hopf bifurcation. For the determine of optimal conditions, we have compared the theoretical results with numerical results for different sets of parameters.
| Original language | English |
|---|---|
| Pages (from-to) | 401-413 |
| Number of pages | 13 |
| Journal | Journal of Applied Nonlinear Dynamics |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Keywords
- Eco-epidemic model
- Local and global stability
- Lyapunov function
- optimal control
