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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...
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...
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 ...
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 ...
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...
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 ...
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...
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...
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...
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...
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. ...
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...
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...
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,...
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...

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