Bifurcation and optimal harvesting of a diffusive predator-prey system with delays and interval biological parameters. (English) Zbl 1317.92068
The authors study a delayed reaction-diffusion three-species predator-prey system with harvesting. It has been demonstrated that introduction of discrete delays in the system causes a stability switch, and a Hopf bifurcation occurs as the delays exceed certain threshold values; this may eventually lead to the extinction of one of the species. The incorporation of the diffusion in the system also leads to the bifurcation of the solutions. Sufficient conditions for the local stability of the positive equilibrium are obtained, as well as conditions for the Hopf bifurcation. Numerical results illustrating theoretical findings are also presented.
Reviewer: Svitlana P. Rogovchenko (Kristiansand)
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