5 Sistemas Lotka-Volterra 10 5.1 Modelo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.2 Análisis de Estabilidad . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 5.2.1 Equilibrios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 5.2.2 Primer Método de Lyapunov . . . . . ...

In this paper we prove the existence of non-stationary periodic solutions of delay Lotka-Volterra equations. In the proofs we use the S-degree due to Dylawerski et al. [2].

In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...

The Lotka-Volterra competition equations with periodic coefficients derived from the MacArthur-Levins theory of a one-dimensional resource niche are studied when the parameters are allowed to oscillate periodically in time. Specifically, niche positions and widths, resource availability and resource consumption rates are allowed small amplitude periodicities around a specified mean value. Two o...

We study the influence of spatially varying reaction rates on a spatial stochastic two-species Lotka-Volterra lattice model for predator-prey interactions using two-dimensional Monte Carlo simulations. The effects of this quenched randomness on population densities, transient oscillations, spatial correlations, and invasion fronts are investigated. We find that spatial variability in the predat...

In this paper, we investigate a discrete competitive Lotka-Volterra predatorprey model with multiple delays. For general non-autonomous case, sufficient conditions which ensure the permanence and the global stability of the system are derived by applying the differential inequality theory; For periodic case, sufficient conditions which guarantee the existence of an unique globally stable positi...

In this paper, we consider a general class of delayed nonautonomous logistic Lotka-Volterra type multispecies cooperative system with harvesting terms on time scales. The model invovles the intraspecific cooperative terms defined by functions which depend on population densities. An existence theorem of at least 2n periodic solutions is established by using the coincidence degree theory. An exa...

We describe and analyze emergent behavior and its effect for a class of preypredators’ simulation models. The simulation uses rule-based agent behavior and follows a prey-predator structure modulated by a number of user-assigned parameters. As part of our analysis, we present key parameter estimations for mapping the prey-predators’ simulation parameters to a functional relationship with the LV...

K e y w o r d s S t a g e structure, Competition, Global stability, Periodic solution. 1. I N T R O D U C T I O N The classical Lotka-Volterra type competitive system is an important population model and has been studied by many authors (see, for example, [1-9]). The two-species autonomous competitive system is of the form, ~ (t) = ~ (t) b~ ~ a~j~j (t) , i = 1, 2, (1.1) j = l where xi(t) denote...

We consider a predator-prey population model with prey gathering together for defense purposes. A transmissible unrecoverable disease affects the prey. We characterize the system behavior, establishing that ultimately either only the susceptible prey survive, or the disease becomes endemic, but the predators are wiped out. Another alternative is that the disease is eradicated, with sound prey a...