The aim is to analyse the basic local and spatial-distributed wave dynamic conditions of the populations systems near critical values of the parameters and to create the base models in which the key effects being characteristic to these conditions are realized. The bifurcation approach to the classification of the local and some type of the spatial dynamic conditions in the two-component systems has been developed, the conception "stereootype of dynamic behaviour" has been formulated, the methods for systematization of the stereotypes of the ecological systems within the frames of the bifurcation analysis of their parametric dynamic models have been proposed. It has been proposed to use the standard forms of the bifurcations as th...
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamic...
Ecological Dynamics is unique in that it can serve both as an introductory text in numerous ecology ...
The purpose of this thesis is the application of the theory of dynamical systems to biological popul...
The dynamics of single populations up to ecosystems, are often described by one or a set of non-line...
Abstract:- This paper presents the investigation of oscillations and nonlinear dynamics of models of...
Bifurcation theory is commonly used to study the dynamical behaviour of ecosystems. It involves the ...
The aim of this paper is the study of the long-term behavior of population communities described by ...
Several mathematical models were formulated as systems of PDEs to simulate vegetation patterns. Thes...
Food chain models of ordinary differential equations (ode's) are often used in ecology to gain insig...
The paper analyses catastrophic transitions in a forest-grassland ecosystem from a nonlinear dynamic...
In this article, we propose a three dimensional mathematical model of phytoplankton dynamics with t...
Food chain models of ordinary differential equations (ode’s) are often used in ecology to gain insig...
Dynamic systems, containing a contour, composed from two saddle states of equilibrium and two struct...
We show in this paper how numerical bifurcation analysis can be used to study the evolution of genet...
Recently increasing interest in non-linear dynamic phenomena has emerged in economics and regional s...
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamic...
Ecological Dynamics is unique in that it can serve both as an introductory text in numerous ecology ...
The purpose of this thesis is the application of the theory of dynamical systems to biological popul...
The dynamics of single populations up to ecosystems, are often described by one or a set of non-line...
Abstract:- This paper presents the investigation of oscillations and nonlinear dynamics of models of...
Bifurcation theory is commonly used to study the dynamical behaviour of ecosystems. It involves the ...
The aim of this paper is the study of the long-term behavior of population communities described by ...
Several mathematical models were formulated as systems of PDEs to simulate vegetation patterns. Thes...
Food chain models of ordinary differential equations (ode's) are often used in ecology to gain insig...
The paper analyses catastrophic transitions in a forest-grassland ecosystem from a nonlinear dynamic...
In this article, we propose a three dimensional mathematical model of phytoplankton dynamics with t...
Food chain models of ordinary differential equations (ode’s) are often used in ecology to gain insig...
Dynamic systems, containing a contour, composed from two saddle states of equilibrium and two struct...
We show in this paper how numerical bifurcation analysis can be used to study the evolution of genet...
Recently increasing interest in non-linear dynamic phenomena has emerged in economics and regional s...
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamic...
Ecological Dynamics is unique in that it can serve both as an introductory text in numerous ecology ...
The purpose of this thesis is the application of the theory of dynamical systems to biological popul...