Richards-like two species population dynamics model |
| |
Authors: | Fabiano Ribeiro Brenno Caetano Troca Cabella Alexandre Souto Martinez |
| |
Institution: | 1. Departamento de Ciências Exatas (DEX), Universidade Federal de Lavras (UFLA), Caixa Postal 3037, Lavras, Minas Gerais, Brazil 2. Sapra Assessoria, Rua Cid Silva Cezar, 600, 13562-400, S?o Carlos, SP, Brazil 3. Faculdade de Filosofia, Ciências e Letras de Ribeir?o Preto (FFCLRP), Universidade de S?o Paulo (USP), Avenida dos Bandeirantes, 3900, 14.040-901, Ribeir?o Preto, SP, Brazil 4. Instituto Nacional de Ciência e Tecnologia em Sistemas Complexos (INCT-SC), Rio de Janeiro, Brazil
|
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|