Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input

被引:36
作者
Liu, Bing [1 ]
Zhang, Lei [2 ]
机构
[1] Anshan Normal Univ, Dept Math, Anshan 114007, Liaoning, Peoples R China
[2] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China
基金
中国国家自然科学基金;
关键词
Lotka-Volterra competition system; Pulse toxicant input; Polluted environment; Weak average persistence; Extinction; Nonpersistent; PREDATOR-PREY MODEL; QUALITATIVE APPROACH; EPIDEMIC MODEL; VACCINATION; COMPLEXITIES; POPULATIONS; DELAYS;
D O I
10.1016/j.amc.2009.03.065
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In most models of population dynamics in a polluted environment, the emission of toxicant is generally considered to be continuous, but it is often the case that toxicant is emitted in regular pulses. This paper deals with the effects of pulse toxicant input with constant rate on two-species Lotka-Volterra competition system in a polluted environment. The thresholds between persistence and extinction of each population are obtained. Moreover, our results indicate that the release amount of toxicant and the pulse period will affect the fate of each population. Finally, the results are verified through computer simulations. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:155 / 162
页数:8
相关论文
共 28 条
[1]  
[Anonymous], 1993, Pitman Monographs and Surveys in Pure and Applied Mathematics
[2]   EFFECTS OF TOXICANTS ON POPULATIONS - A QUALITATIVE APPROACH .4. RESOURCE CONSUMER TOXICANT MODELS [J].
DELUNA, JT ;
HALLAM, TG .
ECOLOGICAL MODELLING, 1987, 35 (3-4) :249-273
[3]   Modelling the interaction of two biological species in a polluted environment [J].
Dubey, B ;
Hussain, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) :58-79
[4]   MODELS FOR THE EFFECT OF TOXICANT IN SINGLE-SPECIES AND PREDATOR-PREY SYSTEMS [J].
FREEDMAN, HI ;
SHUKLA, JB .
JOURNAL OF MATHEMATICAL BIOLOGY, 1991, 30 (01) :15-30
[5]   Analysis of a delayed epidemic model with pulse vaccination and saturation incidence [J].
Gao, Shujing ;
Chen, Lansun ;
Nieto, Juan J. ;
Torres, Angela .
VACCINE, 2006, 24 (35-36) :6037-6045
[6]   EFFECTS OF TOXICANTS ON POPULATIONS - A QUALITATIVE APPROACH .1. EQUILIBRIUM ENVIRONMENTAL EXPOSURE [J].
HALLAM, TG ;
CLARK, CE ;
LASSITER, RR .
ECOLOGICAL MODELLING, 1983, 18 (3-4) :291-304
[7]   EFFECTS OF TOXICANTS ON POPULATIONS - A QUALITATIVE APPROACH .3. ENVIRONMENTAL AND FOOD-CHAIN PATHWAYS [J].
HALLAM, TG ;
DELUNA, JT .
JOURNAL OF THEORETICAL BIOLOGY, 1984, 109 (03) :411-429
[8]   PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL [J].
Jin, Zhen ;
Haque, Mainul ;
Liu, Quanxing .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (04) :409-432
[9]  
Lakshmikantham V., 1989, World scientific, V6
[10]  
Laurent H., 1977, ENV POLLUTION