Results 11 to 20 of about 44,189 (275)

Oscillatory behaviour in a lattice prey-predator system [PDF]

open access: yesPhysical Review E, 1999
Using Monte Carlo simulations we study a lattice model of a prey-predator system. We show that in the three-dimensional model populations of preys and predators exhibit coherent periodic oscillations but such a behaviour is absent in lower-dimensional ...
A. J. Lotka   +15 more
core   +4 more sources

Forced prey-predator oscillations [PDF]

open access: yesJournal of Mathematical Biology, 1981
In this paper existence and stability of subharmonic solutions of the Volterra-Verhulst equations with a periodic coefficient are analyzed by the method of Urabe. The study supports the view that the observed 4- and 10-yr cycles of prey-predator systems are due to seasonal fluctuations.
Blom, J. G.   +3 more
openaire   +2 more sources

Combining impact of velocity, fear and refuge for the predator–prey dynamics

open access: yesJournal of Biological Dynamics, 2023
We develop a deterministic predator–prey compartmental model to investigate the impact of their velocities on their interactions. Prey hides in a refuge area and comes out of this area when predation pressure declines.
Kawkab Abdullah Nabhan Al Amri   +1 more
doaj   +1 more source

On some Free Boundary Problems of the Prey-predator Model [PDF]

open access: yes, 2014
In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
core   +1 more source

Prey–predator phenological mismatch under climate change [PDF]

open access: yesCurrent Opinion in Insect Science, 2019
Insect phenology is affected by climate change and main responses are driven by phenotypic plasticity and evolutionary changes. Any modification in seasonal activity in one species can have consequences on interacting species, within and among trophic levels.
Damien, Maxime, Tougeron, Kévin
openaire   +5 more sources

Leslie’s prey–predator model in discrete time [PDF]

open access: yesInternational Journal of Biomathematics, 2020
We consider the Leslie’s prey–predator model with discrete time. This model is given by a nonlinear evolution operator depending on five parameters. We show that this operator has two fixed points and define type of each fixed point depending on the parameters.
U. A. Rozikov, S. K. Shoyimardonov
openaire   +3 more sources

Go big or … don't? A field-based diet evaluation of freshwater piscivore and prey fish size relationships. [PDF]

open access: yesPLoS ONE, 2018
Body size governs predator-prey interactions, which in turn structure populations, communities, and food webs. Understanding predator-prey size relationships is valuable from a theoretical perspective, in basic research, and for management applications ...
Jereme W Gaeta   +8 more
doaj   +1 more source

A diffusive predator-prey system with prey refuge and predator cannibalism

open access: yesMathematical Biosciences and Engineering, 2019
This paper is devoted to exploring a diffusive predator-prey system with prey refuge and predator cannibalism. We investigate dynamics of this system, including dissipation and persistence, local and global stability of constant steady states, Turing ...
Yuxuan Zhang, Xinmiao Rong, Jimin Zhang
doaj   +1 more source

Evolutionary Stability of Ecological Hierarchy [PDF]

open access: yes, 2003
A self-similar hierarchical solution that is both dynamically and evolutionarily stable is found to the multi dimensional Lotka-Volterra equation with a single chain of prey-predator relations.
E. Chauvet   +4 more
core   +1 more source

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