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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2011, Volume 235, Issue 5, pp. 1326 - 1341
A stochastic ratio-dependent predatorprey model is investigated in this paper. By the comparison theorem of stochastic equations and It's formula, we obtain... 
It's formula | Stable in time average | Extinction | Persistent in mean | Stochastic ratio-dependent predatorprey system
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 359, Issue 2, pp. 482 - 498
In this paper, we consider a predator–prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation. We show there is a unique... 
Globally stable in time average | Itô's formula | Persistent in mean | Extinction | COMPLEX DYNAMICS | MATHEMATICS, APPLIED | STABILITY | BEHAVIOR | Ito's formula | FUNCTIONAL-RESPONSE | MATHEMATICS | IMPULSIVE PERTURBATIONS | LOTKA-VOLTERRA MODEL | SYSTEMS
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 07/2018, Volume 19, Issue 5, pp. 427 - 438
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2011, Volume 390, Issue 10, pp. 1747 - 1762
Journal Article
by Wei, ZZ and Wu, Z and Hu, L and Wang, LL
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, ISSN 1565-1339, 10/2018, Volume 19, Issue 6, pp. 573 - 581
This article is devoted to the dynamical behavior of a stochastic modified Bazykin predator-prey model under regime switching. Some sufficient conditions are... 
SYSTEM | MATHEMATICS, APPLIED | Ito formula | STABILITY | Persistent in mean | PHYSICS, MATHEMATICAL | Exponential martingale inequality | FUNCTIONAL-RESPONSE | Extinct | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | QUALITATIVE-ANALYSIS | DELAY | BIFURCATION | Markovian switching
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2011, Volume 235, Issue 5, pp. 1326 - 1341
Journal Article
Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 03/2012, Volume 32, Issue 3, pp. 867 - 889
In this paper, we consider a n-species Lotka-Volterra mutualism system with stochastic perturbation. Sufficient criteria for persistence in mean and stationary... 
Ergodicity | Persistent in mean | Pth moment | Nonpersistent | Stationary distribution | MATHEMATICS | MATHEMATICS, APPLIED | stationary distribution | nonpersistent | pth moment | NOISE | persistent in mean | ergodicity
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 09/2018, Volume 19, Issue 6, pp. 573 - 581
This article is devoted to the dynamical behavior of a stochastic modified Bazykin predator–prey model under regime switching. Some sufficient conditions are... 
Extinct | Markovian switching,Exponential martingale inequality | Persistent in mean | Itô formula | 34E10 | 34F05 | Exponential martingale inequality | Markovian switching | Markov chains | Computer simulation | Asymptotic properties | Martingales | Switching
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2011, Volume 16, Issue 10, pp. 4037 - 4048
Journal Article
World Journal of Gastroenterology, ISSN 1007-9327, 04/2017, Volume 23, Issue 13, pp. 2404 - 2413
Journal Article
Physical chemistry chemical physics : PCCP, ISSN 1463-9076, 11/2018, Volume 2, Issue 43, pp. 276 - 2761
Journal Article
Physical chemistry chemical physics : PCCP, ISSN 1463-9076, 10/2018, Volume 20, Issue 43, pp. 27600 - 27610
In this work we discuss the extraction of mean field single particle Hamiltonians from a many body wave function of a fermionic system. While we primarily... 
Journal Article
Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 19, pp. 6549 - 6562
In this paper, we investigate the dynamical properties of a stochastic ratio-dependent predator-prey system with Holling type IV functional response. The... 
White noise | Itô’s formula | Persistent in mean | Ergodic | LESLIE-GOWER | MATHEMATICS, APPLIED | GLOBAL STABILITY | BIFURCATIONS | PERSISTENCE | ASYMPTOTIC PROPERTIES | MODEL | Ito's formula | MATHEMATICS | QUALITATIVE-ANALYSIS
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 06/2016, Volume 21, Issue 4, pp. 1189 - 1202
This article is concerned with a mutualism ecological model with Levy noise. The local existence and uniqueness of a positive solution are obtained with... 
Itô's formula | Persistent in mean | Extinction | Mutualism model | Stochastic permanence | MATHEMATICS, APPLIED | GLOBAL STABILITY | BEHAVIOR | ENVIRONMENT | NOISE | persistent in mean | Ito's formula | RANDOM PERTURBATION | mutualism model | extinction | LOTKA-VOLTERRA MODEL | stochastic permanence | SYSTEMS | POPULATION-DYNAMICS
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 20
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 12/2017, Volume 67, Issue 4, pp. 867 - 890
Journal Article
International Journal of Biomathematics, ISSN 1793-5245, 11/2015, Volume 8, Issue 6
This paper is concerned with a mutualism ecological model with stochastic perturbations. The local existence and uniqueness of a positive solution are obtained... 
Itô's formula | extinction | mutualism model | persistent in mean | uniformly continuous | GLOBAL STABILITY | BEHAVIOR | ENVIRONMENT | Ito's formula | LOTKA-VOLTERRA MODEL | PERMANENCE | MATHEMATICAL & COMPUTATIONAL BIOLOGY | SYSTEMS | POPULATION-DYNAMICS | EQUATION
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2012, Volume 35, Issue 2, pp. 144 - 150
A stochastic predator–prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any... 
Beddington–DeAngelis | Extinct | Persistent in mean | Itô formula | Comparison theorem | Beddington-DeAngelis | MATHEMATICS, APPLIED | Ito formula | PERTURBATION | DYNAMICS | MODEL
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 2011, Volume 35, Issue 12, pp. 5553 - 5563
Establishing protection zone has been widely used to preserve endangered species. We study the effect of protection zone in random environment by a stochastic... 
Stochastic model | Numerical simulation | Persistent in mean | Protection zone | Extinction | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | PERSISTENCE | PREDATOR-PREY MODEL | Wildlife conservation | Endangered species | Analysis | Protection and preservation | Models | Extinction (Biology) | Natural areas
Journal Article
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