In recent years, harvesting in the prey-predator ecosystem is one of the most important fields of interest. Much research effort [1, 3, 2, 14, 11, 16, 5, 6, 8] has been put into investigating the interaction and coexistence mechanism of the harvested prey-predator ecosystem. A numerical analysis of a harvested prey-predator model is performed in , and the model can be expressed as follows:
where x1(t) and x2(t) denote populations of the prey 1 and prey 2, respectively; y(t) represents population of the predator; εi (i = 1,2,3) are intrinsic rates of growth and decay of the three species; aij (i,j = 1,2,3) with i ≠ j are the inter-species and aii (i = 1,2) are the intra-species coefficients of competitive interactions; a13 and a23 are the coefficients for the loss of prey 1 and prey 2, respectively; a31 and a32 are the coefficients for growth in the predator as a result of consumption of prey by them; and H(t) is a harvest function, which represents harvesting strategies applied to the predator.
Economic Interest Feedback Gain State Feedback Controller Interior Equilibrium State Feedback Control
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