Complex dynamic behaviors of a discrete-time predator–prey system

By Xiaoli Liu, Dongmei Xiao. 2007

433 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bb1360b1480cdd096e927058ba5d2e6f82fa5c5f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Public Health, Environmental and Occupational Health

In Statistical and Nonlinear Physics

Citations in the corpus

Complex dynamic behaviors of a discrete-time predator-prey system (2017, background): “For example, the predator-prey models with age-structure for predator are studied in [19], in which they investigated the dynamical complexities including quasi-periodic attractors and strange attractors by using numerical analysis.”
Three-dimensional discrete-time Lotka-Volterra models with an application to industrial clusters (2010, positive): “…or complementarity that can be described in terms of ecological interactions between animal populations, so that also the parameters can be interpreted as ‘‘intrinsic growth” or ‘‘intraspecific” or ‘‘interspecific” competition, as well as ‘‘hunting ability” or ‘‘nutritious capacity” of…”
Chaotic dynamics of a discrete prey-predator model with Holling type II (2009, methodology): “However, the same conclusion was obtained using another technique, in which Euler method was used by Jing and Yang [5] and Liu and Xiao [6].”
Stability, bifurcation analysis and chaos control for a predator-prey system (2018, background): “Arguing as in (Liu and Xiao (2007)), one can prove the following results related to dynamics of Equation (1.”
Bifurcation analysis and chaos control in discrete-time glycolysis models (2018, background): “Arguing as in [26] (see also [24,25,27–29]) and taking into account the relations between roots and coefficients of a quadratic equation, we have the following result in order to discuss the dynamics of unique positive ( β, β β+α2 ) of system (1.”