Postprint This is the accepted version of a paper published in Community Ecology. This paper has been peer-reviewed but does not include the final publisher proof-corrections or journal pagination. Trophic links and the relationship between predator and prey body sizes in food webs. Access to the published version may require subscription. Abstract 1 The relationship between predator and prey b...

A prey-predator model with gestation delay, stage structure for predator, and selective harvesting effort on mature predator is proposed, where taxation is considered as a control instrument to protect the population resource in prey-predator biosystem from overexploitation. It shows that interior equilibrium is locally asymptotically stable when the gestation delay is zero, and there is no per...

The canard explosion phenomenon in a predator-prey model with Michaelis-Menten functional response is analyzed this paper by employing the geometric singular perturbation theory. First, some turning points, such as, fold point, transcritical pitchfork are identified; then Hopf bifurcation, relaxation oscillation, together transition from bifurcation to oscillation discussed.

Predator switching is often assumed to be a stabilizing force in predator–prey interactions. Recent models, however, have shown that predator switching can have a destabilizing effect on populations, creating cycles or even extinctions of predators and prey. However, most of these models have been traditional top-down mathematical models that do not incorporate individual variability or evoluti...

The aim of this paper is to present results concerning a three-dimensional model including a prey, a predator and top-predator, which we have named the Volterra–Gause model because it combines the original model of V. Volterra incorporating a logisitic limitation of the P. F. Verhulst type on growth of the prey and a limitation of the G. F. Gause type on the intensity of predation of the predat...

This paper describes the GA model using a new selection method inspired by predator-prey interactions. In this model, prey, which represents the decision space vector, will be placed on the vertices of a two-dimensional lattice. Predator, which deals with objective functions, will also be placed on the same lattice randomly. Basic algorithm proposed by Professor Hans-Paul Schwefel and reported ...

Population fluctuations in a predator-prey system are analyzed for the case where the number of prey could be determined, subject to measurement noise, but the number of predators was unknown. The problem of how to infer the unmeasured predator dynamics, as well as the model parameters, is addressed. Two solutions are suggested. In the first of these, measurement noise and the dynamical noise i...