A simple stochastic description of a model of a predator-prey system is given. The evolution of the system is described by means of Ito's stochastic differential equations (SDEs), which are the natural stochastic generalization of the Lotka-Volterra deterministic differential equations. Since these SDEs do not satisfy the usual conditions for the existence and uniqueness of the solution, we state a theorem of existence; moreover we study the stability of the equilibrium point and perform a computer simulation to study the behaviour of the trajectories of solutions with given initial data and to estimate first and second moments.

Abundo, M.r. (1991). A stochastic model for predator-prey systems: basic properties, stability and computer simulation. JOURNAL OF MATHEMATICAL BIOLOGY, 29(6), 495-511 [10.1007/BF00164048].

A stochastic model for predator-prey systems: basic properties, stability and computer simulation.

ABUNDO, MARIO ROSOLINO
1991-01-01

Abstract

A simple stochastic description of a model of a predator-prey system is given. The evolution of the system is described by means of Ito's stochastic differential equations (SDEs), which are the natural stochastic generalization of the Lotka-Volterra deterministic differential equations. Since these SDEs do not satisfy the usual conditions for the existence and uniqueness of the solution, we state a theorem of existence; moreover we study the stability of the equilibrium point and perform a computer simulation to study the behaviour of the trajectories of solutions with given initial data and to estimate first and second moments.
1991
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Con Impact Factor ISI
animal; article; biological model; computer simulation; mathematics; predation; statistical model; statistics; Animal; Computer Simulation; Mathematics; Models, Biological; Models, Statistical; Predatory Behavior; Stochastic Processes
Abundo, M.r. (1991). A stochastic model for predator-prey systems: basic properties, stability and computer simulation. JOURNAL OF MATHEMATICAL BIOLOGY, 29(6), 495-511 [10.1007/BF00164048].
Abundo, Mr
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/23388
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