The traditional Lotka-Volterra-type predator-prey model has received great attention from both theoretical and mathematical biologists, and has been well studied (see, e.g., [5, 8, 9]). It is assumed in the classical Lotka-Volterra predator-prey model that each individual predator admits the same ability to attack prey. This assumption seems not to be realistic for many animals. In the natural ...

We study a supply chain model which is based on Schnakenberg type kinetics. This model is realistic in a predator-prey context if cooperation of predators is prevalent in the system and if there is practically an unlimited pool of prey, i.e. the predators will not feel the impact of the limited amount of prey due to its large quantity. The system also serves as a model for a sequence of irrever...

...................................................................................................................3 Research Project Background.............................................................................4 -Predator-Prey Interaction -Natural Selection and Coevolution -The Test Case: Canadian Lynx and Snowshoe Hare Laying a Foundation in Differential Equations......................

We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a 'weak' predator, the swarm is able to escape the predator completely. As the strength is increased, the predator is able to catch up with the swarm as a whole, but the individual prey is able to esca...

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...

Abstract In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory by constructing suitable functional, obtain some sufficient conditions for existence uniqueness of positive solutions asymptotic equilibrium to system. Finally, give numerical examples illustrate feasibility our resu...