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Properties of a novel stochastic rock–paper–scissors dynamics
- Source :
- Journal of Applied Mathematics and Computing. 63:341-359
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- This paper is concerned with some stochastic properties of a novel rock–paper–scissors model. Firstly, the global existence of an unique positive solution of the stochastic model is obtained. Then we demonstrate the positive solution of the model is stochastically bounded. Besides, some sufficient conditions for population to be stochastically permanent and extinct are derived with the use of some appropriate Lyapunov functions. At last, some numerical simulations are carried out to illustrate our theoretical analysis results.
- Subjects :
- Lyapunov function
education.field_of_study
Stochastic modelling
Applied Mathematics
Dynamics (mechanics)
Population
01 natural sciences
010305 fluids & plasmas
Computational Mathematics
symbols.namesake
Bounded function
0103 physical sciences
Theory of computation
symbols
Applied mathematics
010306 general physics
education
Mathematics
Subjects
Details
- ISSN :
- 18652085 and 15985865
- Volume :
- 63
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Mathematics and Computing
- Accession number :
- edsair.doi...........d48edd66a89d74329faef23e92fa23ab