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The present paper deals with a harvested predator–prey model and the dynamics of tourists in wetlands. This model describes the coexistence and extinction of at least one of the species… Click to show full abstract
The present paper deals with a harvested predator–prey model and the dynamics of tourists in wetlands. This model describes the coexistence and extinction of at least one of the species in the wetlands. By the Mahwin continuation theorem of coincidence degree theory, we prove the existence of a positive periodic solution (in place of an equilibrium) provided that the harvest rate of prey is in a suitable range. Further, by constructing a suitable Lyapunov functional, we obtain sufficient conditions for global asymptotic stability of the positive periodic solution. Finally numerical simulations are carried out to illustrate the feasibility of the mathematical results.
Journal Title: Afrika Matematika
Year Published: 2018
Link to full text (if available)
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