共查询到20条相似文献,搜索用时 62 毫秒
1.
Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications 总被引:1,自引:0,他引:1
In this paper, we investigate general impulsive nonautonomous population dynamical systems of functional differential equations.
By utilizing the method of multiple Liapunov-like functionals to construct the permanence region, a general criterion on the
permanence for the system is established. Furthermore, as applications of this general criterion, a class of impulsive nonautonomous
n-species Lotka–Volterra competitive systems with delays and a class of impulsive nonautonomous 3-species Lotka–Volterra food
chain systems with delays are discussed. Some new and useful sufficient conditions on the permanence for these systems are
established. 相似文献
2.
具有时滞的非自治Lotka-Volterra竞争系统的持久与灭绝 总被引:2,自引:0,他引:2
本文研究具有纯时滞的一般N-种群非自治Lotka-Volterra竞争系统的持久性和灭绝性.一些新的判别准则被建立.文献[8-10]中得到的关于无时滞非自治Lotka-Volterra竞争系统的结果被改进和推广. 相似文献
3.
In this paper, the qualitative properties of general nonautonomous Lotka-Volterra n-species competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction and global
attractivity of partial species are established by used the methods of inequalities estimate and Liapunov functions. As applications,
nonautonomous two species Lotka-Volterra systems with impulses are discussed. 相似文献
4.
In this paper, we consider a class of nonautonomous N-species Lotka-Volterra competitive systems with impulses and infinite delays. By developing the methods given in Teng (2002) [25], we give sufficient conditions for permanence and global attractivity of the system. 相似文献
5.
本文研究具有纯时滞的一般N-种群非自治Lotka-Volterra竞争系统的持久性和灭绝性.一些新的判别准则被建立.文献[8-10]中得到的关于无时滞非自治Lotka-Volterra竞争系统的结果被改进和推广. 相似文献
6.
讨论了具有时滞的一类N-种群非自治竞争系统.建立了系统持久的新条件.推广了文献[1]中的结果. 相似文献
7.
Zhidong Teng 《Journal of Differential Equations》2002,179(2):538-561
The paper studies the general nonautonomous Lotka-Volterra multispecies systems with finite delays. The ultimate boundedness, permanence, global attractivity, and existence and uniqueness of strictly positive solutions, positive periodic solutions, and almost periodic solutions are obtained. These results are basically an extension of the known results for nonautonomous Lotka-Volterra multispecies systems without delay to systems with delay. 相似文献
8.
Joanna Petela 《Applied mathematics and computation》2009,215(2):481-494
In this paper we consider nonautonomous competitive Kolmogorov systems, which is a generalization of classical Lotka–Volterra competition model. Applying Ahmad and Lazer’s definitions of lower and upper averages of a function, we give the average conditions for the persistence, permanence and global attractivity of the system. 相似文献
9.
In this paper, we consider the general nonautonomous single-species Kolmogorov type system with delay and feedback controls. Sufficient conditions for the permanence of species are established. Our results generalize some known results. 相似文献
10.
Permanence in Nonautonomous Predator-prey Lotka-Volterra Systems 总被引:2,自引:0,他引:2
Wu-jun Sun Zhi-dong Teng Yuan-hong YuDepartment of Applied Mathematics. Shanghai Jiaotong University Shanghai ChinaDepartment of Mathematics Xinjiang University. Urumqi .Institute of Applied Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing China 《应用数学学报(英文版)》2002,(3)
In this paper some easily verifiable sufficient conditions on the permanence of solutions for general nonautonomous two-species predator-prey model are established. These new criteria improve and extend the results given by Ma, Wang, Teng and Teng, Yu. 相似文献
11.
Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response 总被引:1,自引:0,他引:1
In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings. 相似文献
12.
Rui A. C. Ferreira César M. Silva 《Journal of Difference Equations and Applications》2018,24(8):1295-1317
We obtain conditions for permanence and extinction of the infection for a nonautonomous SIQR model defined on an arbitrary time scale. The threshold conditions are given by some numbers that play the role of the basic reproduction number in this setting. As a particular case of our result, we recover several threshold conditions obtained in the literature, on discrete or continuous time, for autonomous, periodic models and general nonautonomous models and we also discuss some new situations, including an aperiodic time scale. 相似文献
14.
《Nonlinear Analysis: Real World Applications》2007,8(1):230-248
This paper studies the general nonautonomous single-species Kolmogorov systems with delays. The sufficient conditions on the persistence and permanence of species, global asymptotic stability and the existence of positive periodic solutions are established. As applications of these results, the permanence, global asymptotic stability and the existence of positive periodic solutions for a series of special single-species growth systems with delays are discussed. 相似文献
15.
In this paper, general nonautonomous discrete-time single-species Kolmogorov model with delays is studied. Some sufficient conditions on the boundedness, persistence, permanence and global attractivity of solutions are established. As application, the discrete time nonautonomous delayed Allee-effect model is discussed. The sufficient conditions on the permanence and global attractivity are obtained. 相似文献
16.
POSITIVE ALMOST PERIODIC SOLUTIONS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS
Dishen Jiabu 《Annals of Differential Equations》2007,23(4):400-404
In this paper,we study some n dimensional nonautonomous Lotka-Volterra competitive ecological systems.We then obtain permanence of such systems, as well as the existence,uniqueness and global asymptotic stability of almost periodic positive solutions to these systems. 相似文献
17.
《Nonlinear Analysis: Real World Applications》2008,9(5):2185-2195
In this paper, we propose a discrete multispecies Lotka–Volterra competition predator–prey system with delays. For general nonautonomous case, sufficient conditions are established for the permanence of the system. 相似文献
18.
讨论一类非纯时滞非自治Lotka-Volterra竞争系统,通过改进[4],[5]和[6]中一些方法,得到所有种群持久的充分条件,其结果推广了[4]的结论. 相似文献
19.
We establish the existence and stability results for periodic nonautonomous uniform forward attractors of periodic general dynamical systems (set-valued dynamical systems). We also investigate the dynamical behavior of nonautonomous periodic differential inclusion x′(t)∈f(t,x(t)) on Rm with only upper semi-continuous right-hand side by applying the abstract results. Firstly, we show that if the system has a compact uniformly attracting set, then it has a periodic nonautonomous uniform forward attractor A. Secondly, we prove that A is robust with respect to both internal and external perturbations. Finally, we apply the robustness result to discuss the effects of small time delays to asymptotic stability of the system. 相似文献
20.
《Journal of Computational and Applied Mathematics》2006,197(2):302-321
This paper studies the general nonautonomous predator–prey Lotka–Volterra systems with infinite delays. The sufficient and necessary conditions of integrable form on the permanence and persistence of species are established. A very interesting and important property of two-species predator–prey systems is discovered, that is, the permanence of species and the existence of a persistent solution are each other equivalent. Particularly, for the periodic system with delays, applying these results, the sufficient and necessary conditions on the permanence and the existence of positive periodic solutions are obtained. Some well-known results on the nondelayed periodic predator–prey Lotka–Volterra systems are strongly improved and extended to the delayed case. 相似文献