Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator
X Liu, L Chen - Chaos, Solitons & Fractals, 2003 - Elsevier
This paper develops the Holling type II Lotka–Volterra predator–prey system, which may
inherently oscillate, by introducing periodic constant impulsive immigration of predator …
inherently oscillate, by introducing periodic constant impulsive immigration of predator …
[图书][B] Nonlinear dynamics, mathematical biology, and social science
JM Epstein - 2018 - taylorfrancis.com
NONLINEAR DYNAMICS, MATHEMATICAL BIOLOGY, AND SOCIAL SCIENCE Page 1 Page 2
NONLINEAR DYNAMICS, MATHEMATICAL BIOLOGY, AND SOCIAL SCIENCE Page 3 Page …
NONLINEAR DYNAMICS, MATHEMATICAL BIOLOGY, AND SOCIAL SCIENCE Page 3 Page …
Coexistence region and global dynamics of a harvested predator-prey system
G Dai, M Tang - SIAM Journal on Applied Mathematics, 1998 - SIAM
The study of populational dynamics with harvesting is related to the optimal management of
renewable resources. In this paper we consider a predator-prey model in which two …
renewable resources. In this paper we consider a predator-prey model in which two …
On the Gause predator–prey model with a refuge: A fresh look at the history
V Křivan - Journal of theoretical biology, 2011 - Elsevier
This article re-analyses a prey–predator model with a refuge introduced by one of the
founders of population ecology Gause and his co-workers to explain discrepancies between …
founders of population ecology Gause and his co-workers to explain discrepancies between …
On the uniqueness and nonexistence of limit cycles for predator–prey systems
D Xiao, Z Zhang - Nonlinearity, 2003 - iopscience.iop.org
In this paper, a general predator–prey system is considered. By utilizing simple but crucial
changes of variables, the system is reduced to a generalized Liénard system where a wealth …
changes of variables, the system is reduced to a generalized Liénard system where a wealth …
Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator–prey model with Allee effect and Holling type-III functional response
K Baisad, S Moonchai - Advances in difference equations, 2018 - Springer
The Kolmogorov model has been applied to many biological and environmental problems.
We are particularly interested in one of its variants, that is, a Gauss-type predator–prey …
We are particularly interested in one of its variants, that is, a Gauss-type predator–prey …
Global analysis of a Holling type II predator–prey model with a constant prey refuge
G Tang, S Tang, RA Cheke - Nonlinear Dynamics, 2014 - Springer
A global analysis of a Holling type II predator–prey model with a constant prey refuge is
presented. Although this model has been much studied, the threshold condition for the …
presented. Although this model has been much studied, the threshold condition for the …
Codimension one and codimension two bifurcations in a discrete Kolmogorov type predator–prey model
As is widely known, discrete-time models may be the suitable choice for identifying the
evolutionary behavior of a species or a taxonomic group of organisms with clearly separated …
evolutionary behavior of a species or a taxonomic group of organisms with clearly separated …
Study of a Leslie–Gower predator-prey model with prey defense and mutual interference of predators
Prey can defend themselves against predators in many different ways. Some prey can even
be dangerous to predators. Such prey posses morphological structures or behavioral …
be dangerous to predators. Such prey posses morphological structures or behavioral …
Qualitative properties of two-dimensional predator-prey systems
RE Kooij, A Zegeling - Nonlinear Analysis: Theory, Methods & …, 1997 - dl.acm.org
Qualitative properties of two-dimensional predator-prey systems | Nonlinear Analysis:
Theory, Methods & Applications skip to main content ACM Digital Library home ACM …
Theory, Methods & Applications skip to main content ACM Digital Library home ACM …