搜索结果: 1-14 共查到“数学 predator-prey”相关记录14条 . 查询时间(0.063 秒)
Nonconstant predator harvesting on ratio-dependent predator-prey models
Predator-prey models harvesting dynamical systems
2010/9/21
The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed ...
Permanence and periodic solution for a predator-prey model with mixed-type functional response
Predator-prey model mixed-type functional response
2010/9/14
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
A global mathematical investigation of a predator-prey model
predator-prey plane differential system
2010/4/8
We construct a global bifurcation diagram of the plane differential system $$ {l} \dot x = x(1-x)-x y/(a+x^2), \dot y = y(\delta-\beta y/x), x(t)>0, y(t)>0, a>0, \delta>0, \beta>0, $$ which describes ...
Periodic solutions for a predator-prey system with dispersal and semi-ratio-dependent functional response
functional response periodic solution dispersal coincidence
2010/9/10
By using a continuation theorem of Mawhin’s coincidence degree , studied a periodic predator-prey system with dispersal and semi-ratiofunctional response, sufficient conditions are obtained for the ex...
A stage-structure predator-prey model with functional response
immature mature functional response Hamiltonian
2010/9/10
In this paper, a class of two species predator-prey model with functional response and harvesting, we consider a stage-structured population model with two life stages, immature and mature; and assume...
Existence of Limit Cycles in a Predator-Prey System With a Functional Response of the Form Arctan(ax)
Predator prey system limit cycle unctional response
2008/11/25
We consider a predator prey system with the functional response of the form
µ(x) = arctan(ax); a > 0. The main concern in this paper is the existence of
limit cycles for such system. A necessa...
Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
Delay differential equations stability/unstability
2010/9/14
In this paper we study the stability of the periodic solutions of a model set forth by M. A. Aziz Alaoui et al. [1, 11] with time delay, which describes the competition between the predator and prey. ...
The Dynamics of a Predator-prey Model with Ivlev's Functional Response Concerning Integrated Pest Management
IPM strategy Ivlev's functional response Impulsive effect Extinction Permanence
2007/12/11
A mathematical model of a predator-prey model withIvlev's functional response concerning integrated pest management(IPM) is proposed and analyzed. We show that there exists a stablepest-eradication pe...
On the PredatorPrey System with Holling-$(n+1)$ Functional Response
Predator--prey system Limit cycle Uniqueness Dulac function
2007/12/11
The qualitative properties of a predator{prey system with Holling-(n + 1) functional response and a fairly general growth rate are completely investigated. The necessary and sufficient condition to gu...
Analyses of Bifurcations and Stability in a Predator-prey System
Predator-prey system Limit cycle Bogdanov-Takens bifurcation
2007/12/11
In this paper the dynamical behaviors of apredator-prey system with Holling Type-IV functional response are investigated in detail by using the analyses of qualitative method, bifurcation theory,...
Periodic Solutions of a Delayed Predator-Prey Model with Stage Structure for Prey
Stage structure predator-prey model time delay periodic solution
2007/12/11
A periodic predator-prey model with stage structure forprey and time delays due to negative feedback and gestation ofpredator is proposed. By using Gaines and Mawhin's continuationtheorem of coinciden...
Permanence in Nonautonomous Predator-prey Lotka-Voterra Systems
nonautonomous lotka-volterra system
2007/12/10
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 exte...
Optimal Harvesting and Stability for a Predator-prey System with Stage Structure
optimal harvesting stage structure predator-prey system
2007/12/10
The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are m...
研究了具有三个物种周期的Predator-Prey差分模型，用拓扑度理论讨论了具有无限时滞差分系统的周期正解的存在性，证明了具有无限时滞差分系统的正周期解存在的充分条件为：(ⅰ)r-1a-32-r-3a-12ｅｘｐ（2r-2ω）＞0；（ⅱ）r-1a-32-r-3a-12ｅｘｐ（2r-2ω）-r-2a-11a-32ｅｘｐ（2r-1ω）＜0；（ⅲ）-a-32a-12r-1＋a-32a-11r-2＋a-...