Publisher Summary This chapter discusses a restricted but useful class of dynamical
systems—, namely, those enjoying a comparison principle with respect to a closed order …

In this paper we exploit the linear, quadratic, monotone and geometric structures of
competitive Lotka-Volterra systems of arbitrary dimension to give geometric, algebraic and …

We study the asymptotic behavior of the competitive Leslie/Gower model (map) T: R^ n_+ →
R^ n_+,\quad T_i (x)= c_ix_i 1+ ∑ _ j= 1^ nb_ ij x_j,\quad c_i> 1, b_ ij> 0,\; i, j= 1, ..., n. T: R+ …

Full article: On existence and uniqueness of the carrying simplex for competitive dynamical
systems Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

We investigate the existence, uniqueness and Gaussian curvature of the invariant carrying
simplices of 3 species autonomous totally competitive Lotka–Volterra systems. Explicit …

Carrying Simplices in Discrete Competitive Systems and Age-structured Semelparous
Populations Page 1 Carrying Simplices in Discrete Competitive Systems and Age-structured …

The paper is concerned with the question of smoothness of the carrying simplex S for a
discrete-time dissipative competitive dynamical system. We give a necessary and sufficient …

This paper deals with global asymptotic behaviour of the dynamics for N-dimensional
competitive Kolmogorov differential systems of equations $\frac {\mathrm {d}{x} _ {i}}{\mathrm …

For a class of competitive maps there is an invariant one-codimensional manifold (the
carrying simplex) attracting all non-trivial orbits. In this paper it is shown that its convexity …

Full article: The C1 property of convex carrying simplices for three-dimensional competitive
maps Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …