Title :
Dynamical analysis of a differential-algebraic bioeconomic model with stage structure and maturation delay
Author :
Chao Liu ; Yuanke Li ; Can Tong
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, a stage structured prey-predator-resource model with maturation delay is established, where resource biomass is harvested. Persistence of solutions of model system is studied. Dynamic analysis of model system with maturation delay is investigated, which shows that interior equilibrium loses its stability at some critical values of maturation delay and economic interest of harvesting. Further discussion shows that maturation delay to preserve stability increases with the introduction of harvest effort into bioeconomic prey-predator-resource model.
Keywords :
differential algebraic equations; predator-prey systems; bioeconomic prey-predator-resource model; differential-algebraic bioeconomic model; dynamic analysis; interior equilibrium; maturation delay; resource biomass; stability; stage structured prey-predator-resource model; Biological system modeling; Computational modeling; Delays; Equations; Mathematical model; Sociology; Statistics; economic interest; harvest effort; maturation delay; prey-predator-resource model;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852856