Dynamics of social populations
Copyright policy )Dynamics of social populations
Two variations of the logistic model of population dynamics with threshold effects are proposed. The proporties of solutions of these models assigned by differential equations with three equilibria are investigated. The first model indicates that undercrowding can lead to eventual extinction while overcrowding will lead to persistence but at a level that is below the maximum population size attainable even with time delay in positive feedback. The second model with a piecewise constant argument indicates that dynamics of population with threshold can provide chaotic behaviour.
- Flinders University Australia
Bifurcation theory for ordinary differential equations, extinction, chaos, stability, time delay, equilibrium, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Structural stability and analogous concepts of solutions to ordinary differential equations, Population dynamics (general), Functional-differential equations (including equations with delayed, advanced or state-dependent argument), population dynamics, threshold
Bifurcation theory for ordinary differential equations, extinction, chaos, stability, time delay, equilibrium, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Structural stability and analogous concepts of solutions to ordinary differential equations, Population dynamics (general), Functional-differential equations (including equations with delayed, advanced or state-dependent argument), population dynamics, threshold
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