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
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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