Open AccessHarvesting on Facultative Mutualist Prey Species in Presence of a Predator
Author(s) -
Saroj Kumar Chattopadhyay
Publication year - 2017
Publication title -
applied science and innovative research
Language(s) - English
Resource type - Journals
eISSN - 2474-4980
pISSN - 2474-4972
DOI - 10.22158/asir.v1n1p1
Subject(s) - facultative , pontryagin's minimum principle , predation , predator , mathematics , type (biology) , stability (learning theory) , functional response , mathematical optimization , ecology , biology , optimal control , computer science , machine learning
This paper proposes a model with two preys of facultative mutualist type and one predator. Linear predation functions are considered and preys are only considered to be harvested. The stability of the model is analyzed theoretically and numerically in this paper. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin’s maximum principle. Finally, some numerical simulations are discussed.