Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes

MA Aziz-Alaoui, MD Okiye - Applied Mathematics Letters, 2003 - Elsevier
We present a two-dimensional continuous time dynamical system modeling a predator-prey
food chain, and based on a modified version of the Leslie-Gower scheme and on the Holling …

[HTML][HTML] Dynamical systems, algebraic topology and the climate sciences

M Ghil, D Sciamarella - Nonlinear Processes in Geophysics, 2023 - npg.copernicus.org
The definition of climate itself cannot be given without a proper understanding of the key
ideas of long-term behavior of a system, as provided by dynamical systems theory. Hence, it …

Study of a Leslie–Gower-type tritrophic population model

MA Aziz-Alaoui - Chaos, Solitons & Fractals, 2002 - Elsevier
A three-dimensional continuous time dynamical system is considered. It is a model for a
tritrophic food chain, based on a modified version of the Leslie–Gower scheme. We …

Spatial patterns through diffusion-driven instability in modified predator–prey models with chaotic behaviors

KM Owolabi, S Jain - Chaos, Solitons & Fractals, 2023 - Elsevier
Understanding the connection between spatial patterns in population densities and
ecological heterogeneity is significant to the understanding of population dynamics and the …

A quantitative study on detection and estimation of weak signals by using chaotic Duffing oscillators

G Wang, S He - IEEE Transactions on Circuits and Systems I …, 2003 - ieeexplore.ieee.org
A new signal detection and estimation method based on the intermittency transition between
order and chaos is developed. The corresponding bifurcation process for the Duffing …

Existence of limit cycles in a three level trophic chain with Lotka–Volterra and Holling type II functional responses

V Castellanos, RE Chan-López - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper we analyze a three level trophic chain model, considering a logistic growth for
the lowest trophic level, a Lotka–Volterra and Holling type II functional responses for …

When do aquatic systems models provide useful predictions, what is changing, and what is next?

BJ Robson - Environmental Modelling & Software, 2014 - Elsevier
This article considers how aquatic systems modelling has changed since 1995 and how it
must change in future if we are to continue to advance. A distinction is made between …

[图书][B] Introduction to mathematical modeling and chaotic dynamics

RK Upadhyay, SRK Iyengar - 2013 - books.google.com
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical
models in natural systems, particularly ecological systems. Most of the models presented are …

Dynamic behaviors of the periodic predator–prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect

X Song, Y Li - Nonlinear Analysis: Real World Applications, 2008 - Elsevier
In this paper, a predator–prey system which based on a modified version of the Leslie–
Gower scheme and Holling-type II scheme with impulsive effect are investigated, where all …

An investigation of delay induced stability transition in nutrient-plankton systems

NK Thakur, A Ojha, PK Tiwari, RK Upadhyay - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a nutrient-plankton interaction model is proposed to explore the characteristic
of plankton system in the presence of toxic phytoplankton and discrete time delay. Anti …