DocumentCode
3109406
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
fYear
2011
fDate
26-28 March 2011
Firstpage
1323
Lastpage
1326
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765082
Filename
5765082
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