On dynamics of Lotka-Volterra type operators

zbMath1303.47079MaRDI QIDQ2447310

Farrukh Mukhamedov, Mansoor Saburov

Publication date: 25 April 2014

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol37_1_6.html

zbMATH Keywords

stabilitysimplexLotka-Volterra type operators

Mathematics Subject Classification ID

Multilinear and polynomial operators (47H60) Mathematical biology in general (92B99) Infinite-dimensional manifolds (46T05)

Related Items (14)

On the surjectivity of quadratic stochastic operators acting on the simplex ⋮ On discrete-time replicator equations with nonlinear payoff functions ⋮ A class of Lotka-Volterra operators with historical behavior ⋮ Mathematical Models of Nonlinear Uniform Consensus II ⋮ On a class of non-ergodic Lotka-Volterra operator ⋮ A class of bijective Lotka–Volterra operators and its application ⋮ Prevalence problem in the set of quadratic stochastic operators acting on \(L^{1}\) ⋮ Stability and monotonicity of Lotka-Volterra type operators ⋮ Historical behavior for a class of Lotka–Volterra systems ⋮ A class of nonergodic Lotka-Volterra operators ⋮ Quadratic non-stochastic operators: examples of splitted chaos ⋮ Bijectivity of a class of Lotka-Volterra operators defined on 2D-simplex ⋮ A quadratic worm propagation model ⋮ Dynamical system of a mosquito population with distinct birth-death rates

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