A stochastic model of symbiosis

• Autorzy: Urszula Skwara
• Języki publikacji: EN

Abstrakty

EN

We consider a system of stochastic differential equations which models the dynamics of two populations living in symbiosis. We prove the existence, uniqueness and positivity of solutions. We analyse the long-time behaviour of both trajectories and distributions of solutions. We give a biological interpretation of the model.

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: 97
• Numer: 3
• Strony: 257-272

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/ap97-3-5