A predator-prey model with generic birth and death rates for the predator and Beddington-DeAngelis functional response

被引：9
|
作者：
Ivanov, Tihomir [1 ,2 ]
Dimitrova, Neli [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str Bl 8, BU-1113 Sofia, Bulgaria
[2] Univ Sofia, Fac Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 133卷
关键词：
Predator-prey model; Beddington-DeAngelis response; Generic birth and death rates for the predator; Stability analysis; Numerical simulation; SYSTEM; INTERFERENCE; STABILITY; DYNAMICS;
D O I：
10.1016/j.matcom.2015.08.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We study a predator-prey model with a Beddington-DeAngelis response function and generic birth and death rates for the predator. The mathematical analysis of the model includes existence and uniqueness of positive solutions, their uniform boundedness, existence and global stability of equilibrium points. Numerical simulation confirms the theoretical results. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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页码：111 / 123
页数：13
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