Optimal harvesting strategy and stochastic analysis for a two species commensaling system

Ain Shams Engineering Journal

K. Shiva Reddy¹  A. Sabarmathi²  M.N. Srinivas² 

[1] Department of Mathematics, Anurag Group of Institutions, Venkatapur (V), Ghatkesar (M), R.R. District, Hyderabad, India;School of Advanced Sciences, Department of Mathematics, VIT University, Vellore, Tamil Nadu 632 014, India;

关键词: Commensal;    Routh–Hurwitz criteria;    Bionomic harvesting;    Optimal harvesting;    Pontriyagin’s principle;    Stochastic perturbation;   

DOI  :  10.1016/j.asej.2013.10.003

来源: DOAJ

【 摘 要 】

In this paper, we have considered a mathematical model of commensalism between two species (S1 and S2) with a limited resource of food, in addition the paper also highlights how the commensal and host species are harvested. The model is characterized by a couple of first order non-linear differential equations. Here, the stable equilibrium point is identified and its stability (both local and global) criteria are discussed (both analytical and numerical). An optimal harvesting strategy is being conversed using Pontriyagin’s maximum principle. We have explored the stochastic stability by finding the corresponding variances. Finally numerical simulations illustrate the effectiveness of our results.

【 授权许可】

Unknown