共查询到19条相似文献,搜索用时 93 毫秒
1.
2.
3.
利用比较定理结合Liapunov泛函, 讨论一类具有多个周期时滞的多种群生态竞争 捕食系统正周期解的存在性和全局吸引性.
最后, 利用一致持久性理论, 讨论捕食 食饵系统正周期解存在的充要条件. 相似文献
4.
该文讨论了一类离散Leslie捕食与被捕食系统,获得了该系统的持久性,当系统为周期系统时,得到了它的周期解的存在性,并且在某些条件下,该周期解是全局稳定的. 相似文献
5.
N种群周期系数非线性关系捕食—竞争系统的定性分析 总被引:3,自引:0,他引:3
本文应用比较定理,Brouwer不动点定理和V函数方法,讨论了N种群周期系数非线性关系捕食-竞争系统的正解的有界性,正周期解的存在性,正周期解的全局吸引性及唯一性。 相似文献
6.
周期捕食被捕食系统正周期解存在的充要条件 总被引:8,自引:2,他引:6
研究周期环境下的Lotka-Volterra捕食被捕食系统。采用分歧理论和微分不等式方法,建立了关于正周期解存在的一个充分必要判别准则,总结和推广了文[1—4]中的主要结果。 相似文献
7.
8.
Holling Ⅳ捕食-食饵时滞系统的多个周期解 总被引:2,自引:0,他引:2
应用重合度定理研究了一类具有Holling Ⅳ类功能性反应时滞捕食-食饵系统的周期解的存在性问题,建立了该系统具有至少两个正周期解的充分条件. 相似文献
9.
一类概周期时滞捕食-食饵系统的概周期解 总被引:3,自引:0,他引:3
本文讨论一类概周期时滞捕食-食饵系统的一致持久性,通过构造一个Liapunov函数得到该系统有界解的唯一性,并且给出正概周期解的存在唯一性定理。 相似文献
10.
研究一类具有多时滞Holling II型功能性反应非自治捕食-被捕食系统, 利用重合度理论得到系统全局正周期解存在的充分条件.推广了相关的已有结果. 相似文献
11.
M. Farkas 《Annali di Matematica Pura ed Applicata》1975,106(1):233-243
Summary The concept of an isolated periodic solution of a periodic differential system is defined and it is proved that if the number
1 is not a characteristic multiplier of the variational system corresponding to the given periodic solution then this solution
is isolated. The concept of a periodic solution with isolated path of an autonomous system is defined and it is proved that
if the number 1 is a simple characteristic multiplier of the corresponding variational system then the periodic solution has
an isolated path. An example is given showing that the conditions above are not necessary.
Entrata in Redazione l’8 giugno 1974. 相似文献
12.
《Communications in Nonlinear Science & Numerical Simulation》2010,15(4):1028-1035
In this paper, a mathematical model with impulsive state feedback control is proposed for turbidostat system. The sufficient conditions of existence of positive order one periodic solution are obtained by using the existence criteria of periodic solution of a general planar impulsive autonomous system. It is shown that the system either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate and the initial concentration of microorganism and substrate. By investigating the periodic solution, the period and the initial point of the periodic solution are given. The results show that turbidostat with impulsive state feedback control tends to an order one periodic solution. 相似文献
13.
14.
Lin Faxing 《数学年刊B辑(英文版)》1990,11(4):525-535
In this paper, it is obtained that a periodic system has an almost periodic solution if it has a solution x=\phi(t) uniformly stable with respect to \Omega_\phi ,and has a periodic solution if x=\phi(t) is weakly uniformly asymptotically stable with respect to \Omega_\phi. Meanwhile, it is also obtained that a uniformly almost periodic system has an almost periodic solution if it has a solution x=\phi(t) uniformly asymptotically stable with respect to A_\phi^j. 相似文献
15.
A periodic predator–prey-chain system with impulsive effects is considered. By using the global results of Rabinowitz and standard techniques of bifurcation theory, the existence of its trivial, semi-trivial and nontrivial positive periodic solutions is obtained. It is shown that the nontrivial positive periodic solution for such a system may be bifurcated from an unstable semi-trivial periodic solution. Furthermore, the stability of these periodic solutions is studied. 相似文献
16.
具有扩散和时滞的捕食系统的持续生存 总被引:3,自引:0,他引:3
本文研究具有一般功能性反应和时滞的周期捕食系统的持续生存和周期解,得到了系统永久持续生存的充要条件.在此条件下系统存在正的ω周期解,改进了一些已知结果. 相似文献
17.
An infinitely differentiable periodic two-dimensional system of differential equations is considered. It is assumed that there is a hyperbolic periodic solution and there exists a homoclinic solution to the periodic solution. It is shown that, for a certain type of tangency of the stable manifold and unstable manifold, any neighborhood of the nontransversal homoclinic solution contains a countable set of stable periodic solutions such that their characteristic exponents are separated from zero. 相似文献
18.
In this paper, we studied a non-autonomous predator-prey system with discrete time-delay, where there is epidemic disease in the predator. By using some techniques of the differential inequalities and delay differential inequalities, we proved that the system is permanent under some appropriate conditions. When all the coefficients of the system is periodic, we obtained the existence and global attractivity of the positive periodic solution by Mawhin’s continuation theorem and constructing a suitable Lyapunov functional. Furthermore, when the coefficients of the system are not absolutely periodic but almost periodic, sufficient conditions are also derived for the existence and asymptotic stability of the almost periodic solution. 相似文献
19.
基于害虫的生物控制和化学控制策略,考虑到化学杀虫剂对天敌的影响,利用脉冲微分方程建立了在不同的固定时刻分别喷洒杀虫剂和释放天敌的具有时滞的第III功能反应的捕食者-食饵脉冲动力系统.证明了当脉冲周期小于某个临界值时,系统存在一个渐进稳定的害虫灭绝周期解,否则系统持续生存.并用Matlab软件对害虫灭绝周期解及害虫周期爆发现象进行了数值模拟. 相似文献