Title :
Qualitative analysis and optimal harvesting policy of Holling-III model with harvesting rates for prey and predator
Author :
Feng, Guangting ; Mei, Huihai ; Zhang, Xingan ; Yang, Cuihong ; Xingan Zhang
Author_Institution :
Sch. of Math. & Quantitative Econ., Hubei Univ. of Educ., Wuhan, China
Abstract :
A predator-prey model with Holling-III functional response is studied, in which the density restriction and harvesting policy are presented in two populations. By using qualitative analysis theory of differential equation and Pontrjagin maximum value principle, the conditions for the existence and uniqueness as well as global asymptotic stability of the positive equilibrium are obtained. The corresponding biological significance is analyzed, and the optimal sustainable harvesting policy is proposed.
Keywords :
asymptotic stability; differential equations; Holling-III functional response; Pontrjagin maximum value principle; differential equation; global asymptotic stability; optimal harvesting policy; optimal sustainable harvesting policy; prey-predator harvesting rates; qualitative analysis; Analytical models; Biological system modeling; Limit-cycles; Mathematical model; Orbits; Predator prey systems;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765082
