Preface -- Permanence, global attraction and stability -- 1 Introduction -- 2 Existence of a compact uniform attractor -- 3 Proof of Theorems 2.1, 2.2 and 2.3 -- 4 Partial permanence and permanence -- 5 Necessary conditions for permanence of Lotka-Volterra systems -- 6 Sufficient condition for permanence of Lotka-Volterra systems -- 7 Further notes -- 8 Global attraction and stability of Lotka-Volterra systems -- 9 Global stability by Lyapunov functions -- 10 Global stability by split Lyapunov functions -- 10.1 Checking the conditions (10.2) and (10.8) -- 10.2 Examples -- 11 Global stability of competitive Lotka-Volterra systems -- 12 Global attraction of competitive Lotka-Volterra systems -- 13 Some notes -- Bibliography -- Competitive Lotka-Volterra systems with periodic coefficients -- 1 Introduction -- 2 The autonomous model. The logistic equation -- 3 Two species periodic models -- 4 Competitive exclusion -- 5 One species extinction in three-dimensional models -- 6 The impulsive logistic equation -- 7 Two species systems with impulsive effects. A look at the N-dimensional case -- 8 The influence of impulsive perturbations on extinction in three-species models -- Bibliography -- Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics -- 1 Introduction -- 2 Notation -- 3 Search of fixed points for maps expansive along one direction -- 4 The planar case -- 4.1 Stretching along the paths and variants -- 4.2 The Crossing Lemma -- 5 The N-dimensional setting: Intersection Lemma -- 5.1 Zero-sets of maps depending on parameters -- 5.2 Stretching along the paths in the N-dimensional case -- 6 Chaotic dynamics for continuous maps -- 7 Definitions and main results -- 8 Symbolic dynamics -- 9 On various notions of chaos -- 10 Linked twist maps.

11 Examples from the ODEs -- 12 Predator-prey model -- 12.1 The effects of a periodic harvesting -- 12.2 Technical details and proofs -- Bibliography -- Index.