Results 231 to 240 of about 106,782 (267)

Predator-prey models with delay and prey harvesting

Journal of Mathematical Biology, 2001
It is known that predator-prey systems with constant rate harvesting exhibit very rich dynamics. On the other hand, incorporating time delays into predator-prey models could induce instability and bifurcation. In this paper we are interested in studying the combined effects of the harvesting rate and the time delay on the dynamics of the generalized ...
Martin, Annik, Ruan, Shigui
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Prey-predator model with a nonlocal consumption of prey

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016
The prey-predator model with nonlocal consumption of prey introduced in this work extends previous studies of local reaction-diffusion models. Linear stability analysis of the homogeneous in space stationary solution and numerical simulations of nonhomogeneous solutions allow us to analyze bifurcations and dynamics of stationary solutions and of ...
Banerjee, M., Volpert, V.
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Preying on pensions

Nursing Standard, 1988
Nurses have been warned about 'unscrupulous' insurance salesmen who may be persuading them to opt out of the NHS superannuation scheme under the new pension laws.
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ANALYSIS OF A PREDATOR–PREY MODEL WITH DISEASE IN THE PREY

International Journal of Biomathematics, 2013
In this paper, we discuss the behavior of a predator–prey model with disease in the prey with and without stochastic perturbation, respectively. First, we briefly give the dynamic of the deterministic system, by analyzing stabilities of its four equilibria. Then, we consider the asymptotic behavior of the stochastic system. By Lyapunov analysis methods,
Ji, Chunyan, Jiang, Daqing
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A Leslie–Gower predator–prey model with disease in prey incorporating a prey refuge

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharma, Swarnali, Samanta, G. P.
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Prey size of single‐prey loaders as an indicator of prey abundance

Ecology Letters, 2000
In this paper I am concerned with the behaviour of seabirds that bring back just one prey item at a time to their young. I use a simple model from central place foraging theory to show that the size of fish that a parent bird brings back may increase or decrease with an increase in the abundance of fish.
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Predator–prey system with strong Allee effect in prey

Journal of Mathematical Biology, 2010
Global bifurcation analysis of a class of general predator-prey models with a strong Allee effect in prey population is given in details. We show the existence of a point-to-point heteroclinic orbit loop, consider the Hopf bifurcation, and prove the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters.
Wang, Jinfeng, Shi, Junping, Wei, Junjie
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THE IMPACT OF CANNIBALISM IN THE PREY ON PREDATOR–PREY SYSTEMS

Ecology, 2008
Cannibalism is ubiquitous in natural communities and has the potential to alter the functional relationship of predator–prey interactions. Although cannibalistic species are frequently subject to predation, the consequences of cannibalism in the prey for predator–prey interactions are poorly understood.
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A ratio-dependent predator–prey model with disease in the prey

Applied Mathematics and Computation, 2002
In this paper the prey population is divided into susceptibles and infectives, where the infectives do not recover, and the predator is consuming only the infectives. The functional response is of ratio dependent Holling type. Conditions are established for non-persistence and for persistence of the system.
Yanni Xiao, Lansun Chen
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A predator-prey model with disease in the prey

Nonlinear Analysis: Theory, Methods & Applications, 1999
The authors consider an eco-epidemiological system consisting of three species, namely, the sound prey, the infected prey and the predator population. Persistence and extinction conditions of the populations are derived and conditions are determined for which the system enters a Hopf-type bifurcation.
Chattopadhyay, J., Arino, O.
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