A stochastic symbiosis model with degenerate diffusion process

• Autorzy: Urszula Skwara
• Języki publikacji: EN

Abstrakty

EN

We present a model of symbiosis given by a system of stochastic differential equations. We consider a situation when the same factor influences both populations or only one population is stochastically perturbed. We analyse the long-time behaviour of the solutions and prove the asymptoptic stability of the system.

Kategorie tematyczne

• 47D07: Markov semigroups and applications to diffusion processes
• 60J60: Diffusion processes
• 35K15: Initial value problems for second-order parabolic equations
• 60H10: Stochastic ordinary differential equations
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 2
• Strony: 111-128

Daty

wydano

2010

Twórcy

autor

Urszula Skwara

• Institute of Mathematics, Maria Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/ap98-2-2