Stability Analysis of Prey-Predator Model Holling Type II with Infected Predator

Khoirin Latipah, Arrival Rince Putri, Arrival Rince Putri, Mahdhivan Syafwan, Mahdhivan Syafwan

Abstract


The prey-predator model is a model of interaction between two species, predators and prey. The interaction affects the growth of the two species. The Holling type II prey-predator model with disease-infected predators was discussed. Furthermore, the stability of the model was analyzed the around the critical point determined from eigenvalues of the Jacobian matrix. Stability is also associated with threshold parameter. Finally, the analysis results were confirmed with numerical solutions for different parameter values. The results show that the stability of the system depends on the value of the capacity of the prey population.


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References


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