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| A Mathematical Study for the Stabilityof Two Predator and One Prey withInfection in First Predator using FuzzyImpulsive Control |
| Khushbu Singh,Kolla Kaladhar |
| (Department of Mathematics, National Institute of Technology,
Warangal-506004, India) |
| DOI： |
| Abstract: |
| In this study, we develop a set of ordinary differential equations that
represents the dynamics of an ecosystem with two predators and one prey, but
only the first predator population is affected by an infectious disease. The LotkaVolterra predator-prey system’s model stability have been examined using the
Takagi-Sugeno (T-S) impulsive control model and the Fuzzy impulsive control
model. Following the formulation of the model, the global stabilities and the
Fuzzy solution are carried out through numerical simulations and graphical representations with appropriate discussion for better understanding the dynamics
of our proposed model. |
| Key words: Prey-predator system, T-S model, stability, eco-epidemiology. |