%0 Journal Article %T Dynamics of a stochastic delay competition model with imprecise parameters %A He, Xin %A Liu, Meng %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 9 %@ ISSN 2008-1901 %F He2017 %X This paper is concerned with a two-species delay stochastic competition model with imprecise parameters. We first obtain the thresholds between persistence and extinction for each species. Then we establish sharp sufficient criteria for the existence of a unique ergodic stationary distribution of the model. The effects of imprecise parameters on the persistence, extinction and existence of the stationary distribution are revealed. Finally, we work out some numerical simulations to illustrate the theoretical results. %9 journal article %R 10.22436/jnsa.010.09.20 %U http://dx.doi.org/10.22436/jnsa.010.09.20 %P 4776--4788 %0 Journal Article %T Multiplicity of solutions for a class of non-local elliptic operators systems %A C.-Z. Bai %J Bull. Korean Math. Soc. %D 2017 %V 54 %F Bai 2017 %0 Journal Article %T Systémes d’équations différentielles d’oscillations non linéaires %A I. Barbalat %J (French) Rev. Math. Pures Appl. %D 1959 %V 4 %F Barbalat1959 %0 Journal Article %T Harvesting natural populations in a randomly fluctuating environment %A J. R. Beddington %A R. M. May %J Science %D 1977 %V 197 %F Beddington1977 %0 Journal Article %T A stochastic SIRS epidemic model with infectious force under intervention strategies %A Y.-L. Cai %A Y. Kang %A M. Banerjee %A W.-M. Wang %J J. Differential Equations %D 2015 %V 259 %F Cai2015 %0 Book %T Ergodicity for infinite-dimensional systems %A G. Da Prato %A J. Zabczyk %D 1996 %I London Mathematical Society Lecture Note Series, Cambridge University Press %C Cambridge %F Prato1996 %0 Book %T Stability and oscillations in delay differential equations of population dynamics %A K. Gopalsamy %D 1992 %I Mathematics and its Applications, Kluwer Academic Publishers Group %C Dordrecht %F Gopalsamy 1992 %0 Journal Article %T A comparison theorem for solutions of stochastic differential equations and its applications %A N. Ikeda %A S.Watanabe %J Osaka J. Math. %D 1977 %V 14 %F Ikeda1977 %0 Journal Article %T A note on nonautonomous logistic equation with random perturbation %A D.-Q. Jiang %A N.-Z. Shi %J J. Math. Anal. Appl. %D 2005 %V 303 %F Jiang2005 %0 Journal Article %T Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation %A X.-Y. Li %A X.-R. Mao %J Discrete Contin. Dyn. Syst. %D 2009 %V 24 %F Li2009 %0 Journal Article %T Optimal harvesting of a stochastic logistic model with time delay %A M. Liu %A C.-Z. Bai %J J. Nonlinear Sci. %D 2015 %V 25 %F Liu2015 %0 Journal Article %T Analysis of a stochastic tri-trophic food-chain model with harvesting %A M. Liu %A C.-Z. Bai %J J. Math. Biol. %D 2016 %V 73 %F Liu2016 %0 Journal Article %T Optimal harvesting of a stochastic delay competitive model %A M. Liu %A C.-Z. Bai %J Discrete Contin. Dyn. Syst. Ser. B %D 2017 %V 22 %F Liu2017 %0 Journal Article %T Population dynamical behavior of a two-predator one-prey stochastic model with time delay %A M. Liu %A C.-Z. Bai %A Y. Jin %J Discrete Contin. Dyn. Syst. %D 2017 %V 37 %F Liu2017 %0 Journal Article %T Analysis on stochastic delay Lotka-Volterra systems driven by Lévy noise %A Q. Liu %A Q.-M. Chen %A Z.-H. Liu %J Appl. Math. Comput. %D 2014 %V 235 %F Liu2014 %0 Journal Article %T Stability in distribution of a three-species stochastic cascade predator-prey system with time delays %A M. Liu %A M. Fan %J IMA J. Appl. Math. %D 2017 %V 82 %F Liu2017 %0 Journal Article %T A note on a delay Lotka-Volterra competitive system with random perturbations %A M. Liu %A K. Wang %J Appl. Math. Lett. %D 2013 %V 26 %F Liu2013 %0 Journal Article %T Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle %A M. Liu %A K. Wang %A Q. Wu %J Bull. Math. Biol. %D 2011 %V 73 %F Liu2011 %0 Journal Article %T Stationary distribution of stochastic population systems %A X.-R. Mao %J Systems Control Lett. %D 2011 %V 60 %F Mao 2011 %0 Book %T Stability and complexity in model ecosystems %A R. M. C. May %D 2001 %I Princeton Univ. Press %C Princeton %F May 2001 %0 Journal Article %T Dynamic behavior of a predator-prey system of combined harvesting with interval-valued rate parameters %A D. Pal %A G. S. Mahapatra %J Nonlinear Dynam. %D 2016 %V 83 %F Pal2016 %0 Journal Article %T Optimal harvesting of prey-predator system with interval biological parameters: a bioeconomic model %A D. Pal %A G. S. Mahaptra %A G. P. Samanta %J Math. Biosci. %D 2013 %V 241 %F Pal2013 %0 Journal Article %T Stability and bionomic analysis of fuzzy parameter based prey-predator harvesting model using UFM %A D. Pal %A G. S. Mahaptra %A G. P. Samanta %J Nonlinear Dynam. %D 2015 %V 79 %F Pal2015 %0 Journal Article %T Stability and bionomic analysis of fuzzy prey-predator harvesting model in presence of toxicity: a dynamic approach %A D. Pal %A G. S. Mahaptra %A G. P. Samanta %J Bull. Math. Biol. %D 2016 %V 78 %F Pal2016 %0 Journal Article %T Predator-prey fuzzy model %A M. Peixoto %A L. C. Barros %A R. C. Bassanezi %J Ecol. Model. %D 2008 %V 214 %F Peixoto2008 %0 Journal Article %T Optimal harvesting of a two species competition model with imprecise biological parameters %A S. Sharma %A G. P. Samanta %J Nonlinear Dynam. %D 2014 %V 77 %F Sharma2014 %0 Journal Article %T Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment %A Y. Zhao %A S.-L. Yuan %A Q.-M. Zhang %J Appl. Math. Comput. %D 2015 %V 260 %F Zhao2015 %0 Journal Article %T Permanence and extinction in a stochastic service-resource mutualism model %A Y. Zhu %A M. Liu %J Appl. Math. Lett. %D 2017 %V 69 %F Zhu2017