and 2. dy/dt=-y(C-Dx)
Where x the prey population increses proportionaly to population at any point of time and decreases proportionaly to its population multiplied by predators. And y the predator population decreses proportionaly to its population and increses proportionaly to its population multiplied by population of prey. The graphical solution to these differential equations follow:
so an increase in prey population later shows as an increase in predators and vice versa.
But this is a general model and more insight into prey predator dynamics have been observed like an article by Helen.J.Edwards and co authors who studied prey population dynamics for these type of interactions:1)Prey may compete for resources in a single habitat, or may be segregated, thus competing only indirectly . 2)Models in which a single prey species moves between two populations in different habitats have also been studied. A special feature of this type of relationship is that the rate at which a prey individual is attacked by a predator decreases when the population of that species becomes rare compared with the population of another prey .This may be because of several reasons:-: 1.)When one prey type becomes rare the predator may shift to more abundant specie. 2.)The decrese in prey population...