On the exponentially self-regulating population model

DOI10.1016/S0960-0779(02)00074-7zbMath1031.92021OpenAlexW2043068328MaRDI QIDQ1419086

Jerry Chen, D. L. Blackmore

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00074-7

zbMATH Keywords

uncoupled casecoupled case

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Bifurcation of the exponentially self-regulating population model ⋮ Study of the stability of a \(3 \times 3\) system of difference equations using centre manifold theory ⋮ Long-term behavior of positive solutions of an exponentially self-regulating system of difference equations ⋮ Tracking control and synchronization of four-dimensional hyperchaotic Rössler system ⋮ Allee effects on population dynamics with delay ⋮ Strange attractors for asymptotically zero maps ⋮ Qualitative properties for a fourth order rational difference equation ⋮ Allee effects on population dynamics in continuous (overlapping) case ⋮ On the behavior of some extension forms of some population models ⋮ STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY ⋮ Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking ⋮ Semistability of two systems of difference equations using centre manifold theory

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Extinction and persistence of species in discrete competitive systems with a safe refuge
• On the abundance of aperiodic behaviour for maps on the interval
• Mutual exclusion versus coexistence for discrete competitive systems
• Global bifurcations and chaos. Analytical methods
• Geometry of exclusion principles in discrete systems
• The dynamics of density dependent population models
• Population dynamic consequences of competition within and between age classes
• Dynamical properties of discrete Lotka-Volterra equations
• Quantitative universality for a class of nonlinear transformations
• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• Chaos and the dynamics of biological populations
• A computer-assisted proof of the Feigenbaum conjectures
• Period Three Implies Chaos
• Global attractors in competitive systems
• Simple mathematical models with very complicated dynamics
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