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2018年捕食者与猎物的相互作用戈登研究会议（Predator-Prey Interactions Gordon Research Conference）
2018年 捕食者与猎物的相互作用戈登研究 会议
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2018/1/12
The 2018 Gordon Research Conference on Predator-Prey Interactions brings together speakers from a range of disciplines to address both the underlying mechanisms and emergent impacts of the predator-pr...
Existence of Periodic Solution for a Predator-prey System with Feedback Control
Hassell-Varely type predator-prey coincidence degree theorem Lyapunov function global stability
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2012/9/24
A Hassell-Varely type predator-prey system with feedback controls is studied. Using the comparison, continuation theorems and coincidence degree theorem, the existence of positive periodic solutions f...
Existence and Uniqueness of the Positive Solution to a Predator-prey Model with Stochastic Perturbation
Itos formula Brownian motion existence and uniqueness
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2012/9/24
In this paper, a predator-prey model is estab lished with the modified Holling-type II schemes with stochastic perturbation. We mainly use Lyapun ov function and comparison theorem to show that there ...
Nonconstant predator harvesting on ratio-dependent predator-prey models
Predator-prey models harvesting dynamical systems
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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
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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
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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
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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
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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
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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...
Food-web structure and planktonic predator–prey relationships in two eutrophic European lakes: Stability constraints on carbon fluxes
Food-web structure planktonic predator–prey relationships two eutrophic European lakes Stability constraints carbon fluxes
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2014/4/21
The food webs in two eutrophic European lakes were analyzed with respect totheir stability characteristics.The food web during the summer in Lake Nesjøvatn (Norway) appeared to be stable; its res...
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
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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
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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
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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
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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
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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...