Effect of prey growth and predator cannibalism rate on the stability of a structured population model

被引：19
作者：
Buonomo, B. [1 ]
Lacitignola, D. [2 ]
Rionero, S. [1 ]
机构：
[1] Univ Naples Federico 2, Dept Math & Applicat, I-80126 Naples, Italy
[2] Univ Salento, Dept Math, I-73100 Lecce, Italy
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期
关键词：
Predator-prey models; Stage structure; Cannibalism; Hopf bifurcation; Lyapunov stability; SYSTEM;
D O I：
10.1016/j.nonrwa.2009.01.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of a structured population model including cannibalism is analyzed. Hopf bifurcation threshold for the cannibalistic attack rate is detected. Linear and nonlinear stability analysis through the Lyapunov Direct Method is also provided. The effects of relevant parameters on the stability are discussed. In particular, cannibalism is found to have a stabilizing effect, whereas the prey growth effect is opposite. The result is emphasized by numerical simulations. (C) 2009 Published by Elsevier Ltd
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收藏
页码：1170 / 1181
页数：12
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