Stability and bionomic analysis of fuzzy parameter based prey-predator harvesting model using UFM

作者：Pal D; Mahapatra G S^*; Samanta G P

来源：Nonlinear Dynamics, 2015, 79(3): 1939-1955.

DOI：10.1007/s11071-014-1784-4

• Prey-predator
• Stability
• Bio-economic
• Optimal harvesting
• Fuzzy set

In this paper, a novel concept of fuzzy prey-predator model is introduced by considering the imprecise nature of the biological parameters. We consider the imprecise biological parameters as a form of triangular fuzzy number in nature. These imprecise parameters first transform to the corresponding intervals and then using interval mathematics the related differential equation is converted to two differential equations. Then using utility function method, the converted differential equations is changed to a single differential equation. The possibility of existence of both biological and bionomic equilibrium is presented. We obtain the conditions of local and global stability under impreciseness. We also study the optimal harvesting policy and derive the optimal solution under imprecise biological parameters. Lastly, numerical examples are presented to the support of our proposed approach.

• 出版日期2015-2