[PDF] Top 20 Dynamical Behavior In A Discrete Three Species Prey-Predator System

... ecological predator – prey model and the oscillations in their ...with three and more species to understand complex dynamical behaviors of ecological systems in the real ...The ... See full document

... Lotka-Volterra prey-predator model has become one of the fundamental popula- tion models since the theoretical works going back to Lotka () [] and Volterra () [] in the last ...introduced ... See full document

... predator-prey system is unstable if a chaotic behavior ...the prey is chaotic, the predator will ultimately tend to extinct or tend to a sta- ble fixed ...with system () ... See full document

... ecological system can have a considerable in- fluence on the qualitative behavior of these ...ratio-dependent predator-prey models with time delays have been studied by many researchers ... See full document

... for predator–prey models [2–12] and [23, ...the discrete-time population models have attracted more and more ...the discrete-time models are more suitable than the continuous-time ...from ... See full document

... a predator-prey model with prey impulsive diffusion and dispersal ...the predator-extinction periodic solution and the permanence of ...the prey with impulsive diffusion and dispersal ... See full document

... of prey and/or predator depending on the complexity of the ...the three dimensional model. Further, if stages of both the species are considered, it will lead to four dimensional ...the ... See full document

... The prey-predator model is an area of great interest for many ecologists and ...the dynamical behavior of the prey-predator system in ecology and contributed to the growth ... See full document

... chaotic behavior of a discrete-time singular bioeconomic system are ...proposed system is considered difference ...of discrete singular system. Also the dynamic behaviors of the ... See full document

... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...Two species models like ... See full document

... bifurcation behavior on time delay of this modified dynamical system ...competing species in the aquatic ecosystem, thus influencing seasonal suc- cesssion, blooms and ...a ... See full document

... the prey-predator interaction is a subject of great interest in the bio-mathematical literature and the dynamic relationship between predator and prey living in the same environment will ... See full document

... ABSTRACT: This paper investigates an eco-system with two prey species and a predator. The model equations constitute a set of three first order non-linear coupled difference equations. ... See full document

... the system is in chaotic state under certain parametric condi- tions, the chaos orbits can be stabilized to an unstable fixed point by a ...more dynamical behavior of ... See full document

... a predator–prey system with three ...one predator and one prey invade the habitat of another ...asymptotic behavior of traveling wave solutions is obtained by the idea of ... See full document

... As one of the original milestone papers to discuss the arrival of a new modeling technique, Huston et al. (1988) isolate two key reasons why classical models "violate" theoretical ecology. Firstly, classical ... See full document

... predation system. If ( ) exceeds certain threshold value (regulated by other system parameters) then it has a possibility for extinction of the prey ...of prey population has been increased ... See full document

... the discrete time models are more appropriate than the continuous ...ones. Discrete time models can also provide efficient computational models of continuous ... See full document

... migratory species (wildebeest, zebra, and Thomson’s gazelle) show similar seasonal shifts in habitats, using short grassland in the south during wet season and tall grasslands in the north during dry season ... See full document

... a three- species Predator-Prey ...Zhanp predator-prey system with impulsive perturbations on predators, Liu ZJ[13] researched existence of periodic solutions for a delayed ... See full document