Title :
A stage structured predator-prey system with delay dependent parameters
Author :
Zou Xiaojian ; Hu Baoan ; Liu Junfeng
Author_Institution :
Political Dept., Mil. Transp. Univ., Tianjin, China
Abstract :
In reality, every action and reaction all take time to take effect in real life problems, and many species go through some distinct life stages as they proceed from birth to death. From this viewpoint, we propose a two-stage predator-prey interaction model with delay dependent parameters. Our work shows that under condition which the positive equilibrium exists, the system is uniformly persistent. Next, we give conditions which are both necessary and sufficient for the global stability of the boundary equilibrium. At last, we prove that under suitable hypotheses the positive steady state is globally asymptotically stable. The paper ends with a brief discussion section.
Keywords :
asymptotic stability; predator-prey systems; asymptotic stability; boundary equilibrium; delay dependent parameters; global stability; real life problems; stage structured predator-prey system; Asymptotic stability; Delays; Equations; Mathematical model; Predator prey systems; Stability analysis; Steady-state; Delay Dependent Parameters; Global Stability; Stage Structure;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561281