Richards-like two species population dynamics model
0301 basic medicine
0303 health sciences
Pattern formation ecological
Models, Statistical
Population dynamics
Dinâmica populacional
Extinction, Biological
Biological Evolution
Models, Biological
Population growth models
6. Clean water
Food Supply
Formação de padrões ecológicos
03 medical and health sciences
Predatory Behavior
Animals
Humans
Computer Simulation
Population Growth
Modelos de crescimento populacional
Ecosystem
DOI:
10.1007/s12064-014-0205-z
Publication Date:
2014-08-12T02:27:27Z
AUTHORS (3)
ABSTRACT
The two-species population dynamics model is the simplest paradigm of inter- and intra-species interaction. Here, we present a generalized Lotka-Volterra model with intraspecific competition, which retrieves as particular cases, some well-known models. The generalization parameter is related to the species habitat dimensionality and their interaction range. Contrary to standard models, the species coupling parameters are general, not restricted to non-negative values. Therefore, they may represent different ecological regimes, which are derived from the asymptotic solution stability analysis and are represented in a phase diagram. In this diagram, we have identified a forbidden region in the mutualism regime, and a survival/extinction transition with dependence on initial conditions for the competition regime. Also, we shed light on two types of predation and competition: weak, if there are species coexistence, or strong, if at least one species is extinguished.
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CITATIONS (10)
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