Instabilidade difusiva em um modelo presa-predador generalista

• Ano de defesa: 2017
• Autor(a) principal: Rodrigues, Vagner Weide
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Santa Maria; Brasil; Matemática; UFSM; Programa de Pós-Graduação em Matemática; Centro de Ciências Naturais e Exatas
• Palavras-chave em Português: Predador generalista; Instabilidade difusiva; Formação de padrões; Generalist predator; Diffusive instability; Pattern formation; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufsm.br/handle/1/12155

In this work, we investigate the pattern formation of a reaction-diffusion generalist predator-prey system with constant alternative food source and a Holling type III functional response. The local model can exhibit up to six equilibria, bistability, limit cyles and several bifurcations. We analyse diffusive instability conditions and verify the spatial distribution of preys and predators in a two-dimensional habitat with reflective zero-flux boundary conditions. We investigate the spatial behavior for three parameters combinations: Case 1: single coexistence equilibrium; Case 2: bistability; and Case 3: bistability and limit cycle. This work is divided as follows: nn Chapter 1, we present the stability analysis of the local model; in Chapter 2, we consider the movement by diffusion and find diffusive instability conditions; lastly, in Chapter 3 we perform extensive numerical simulations in order to investigate the spatial distribution of preys and predators.