A stage-structured single species model with pulse input in a polluted environment

被引:0
作者
Shaohong Cai
机构
[1] Guizhou College of Finance & Economics,Guizhou Key Laboratory of Economic System Simulation
来源
Nonlinear Dynamics | 2009年 / 57卷
关键词
Stage-structured single species model; Impulsive perturbations; Polluted environment; Extinction; Permanence;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study a stage-structured single species model with pulse input in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain the globally attractive condition for the species-extinction periodic solution of the investigated system. By the use of the theory of impulsive delayed differential equation, we also obtain sufficient condition of the permanence of the investigated system. Our results reveal that long mature period of the population in polluted environment can cause it to go extinct.
引用
收藏
页码:375 / 382
页数:7
相关论文
共 29 条
[1]  
Aiello W.G.(1990)A time-delay model of single-species growth with stage structure Math. Biosci. 101 139-153
[2]  
Freedman H.I.(1997)Modelling the effect of toxicant on forestry resources Indian J. Pure Appl. Math. 28 1-12
[3]  
Dubey B.(1991)Models for the effect of toxicant in a single-species and predator–prey systems J. Math. Biol. 30 15-30
[4]  
Freedman H.I.(1983)Effects of toxicant on population: A qualitative approach II First order kinetics, J. Math. Biol. 18 25-37
[5]  
Shukla J.B.(1983)Effects of toxicant on population: A qualitative approach I. Equilibrium environmental exposure Ecol. Model 18 291-340
[6]  
Hallam T.G.(1981)Application of predator–prey models to disinfection J. Water Pollut. Control Fed. 53 378-386
[7]  
Clark C.E.(1998)Competition in the chemostat when one competitor produces a toxin Japan J. Ind. Appl. Math. 15 471-490
[8]  
Jordan G.S.(1982)Application of surplus production model to access environmental impacts in exploited populations of Daphnia pluex in the laboratory Environ. Pollut. (Ser. A) 28 273-280
[9]  
Hallam T.G.(2007)Delayed stage-structured predator–prey model with impulsive perturbations on predator and chemical control on prey Appl. Math. Mech. 28 1679-1689
[10]  
Clark C.E.(2008)Global Attractivity of a stage-structure variable coefficients predator–prey system with time delay and impulsive perturbations on predators Int. J. Biomath. 1 197-208