Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity | Zendy

Huiling Wu | Zendy; Fengde Chen | Zendy

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Harvesting of a Single-Species System Incorporating Stage Structure and Toxicity

Author(s) -

Huiling Wu,

Fengde Chen

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/290123

Subject(s) - toxicant , lyapunov function , pontryagin's minimum principle , stability (learning theory) , equilibrium point , property (philosophy) , mathematics , control theory (sociology) , function (biology) , stage (stratigraphy) , mathematical optimization , computer science , mathematical economics , optimal control , control (management) , biology , mathematical analysis , toxicity , chemistry , physics , philosophy , artificial intelligence , paleontology , epistemology , quantum mechanics , machine learning , evolutionary biology , differential equation , organic chemistry , nonlinear system

A single species stage-structured model incorporating both toxicant andharvesting is proposed and studied. It is shown that toxicant has no influence on the persistent property of the system. The existence of the bionomic equilibrium is also studied. After that, we consider the system with variable harvest effect; sufficient conditions are obtained for the global stability of bionomic equilibrium by constructinga suitable Lyapunov function. The optimal policy is also investigated by using Pontryagin's maximal principle. Some numeric simulations are carried out to illustrate the feasibility of the main results. We end this paper by a brief discussion

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