[Asymptotic solutions of population dynamic equations].
An approach is offered to construct the asymptomatics of the solutions on the small parameter in the close neighborhood of the equilibrium condition of the well-known Volterra-Lotka "prey-predator" system and one of its modifications which takes into account the intraspecies competition of preys and limitation of food resources of a predator. On the basis of the formulas obtained, possible dynamic modes of the size of populations of both kinds are analyzed.
Rustamov
N A
NA
Geographic Department, Lomonosov Moscow State University, Russia.
D000818:Animals; D008962:Models, Theoretical; D011157:Population Dynamics; D011235:Predatory Behavior