| 1 |
Zhao Y , Yuan S L , Zhang Q M . The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment. Appl Math Model, 2016, 40: 7583- 7600
doi: 10.1016/j.apm.2016.01.056
|
| 2 |
Wang X H , Jia J W . Dynamic of a delayed predator-prey model with birth pulse and impulsive harvesting in a polluted environment. Physica A, 2015, 422: 1- 15
doi: 10.1016/j.physa.2014.12.003
|
| 3 |
Wei F Y , Chen L H . Psychological effect on single-species population models in a polluted environment. Math Biosc, 2017, 290: 22- 30
doi: 10.1016/j.mbs.2017.05.011
|
| 4 |
Zhao Y , Yuan S L . Optimal harvesting policy of a stochastic two-species competitive model with Lévy noise in a polluted environment. Physica A, 2017, 477: 20- 33
doi: 10.1016/j.physa.2017.02.019
|
| 5 |
He X , Shan M J , Liu M . Persistence and extinction of an n-species mutualism model with random perturbations in a polluted environment. Physica A, 2018, 491: 313- 324
doi: 10.1016/j.physa.2017.08.083
|
| 6 |
Jiang D Q , Zhang Q M , Tasawar H , Ahmed A . Periodic solution for a stochastic non-autonomous competitive Lotka-Volterra model in a polluted environment. Physica A, 2017, 471: 276- 287
doi: 10.1016/j.physa.2016.12.008
|
| 7 |
Zhao D L , Yuan S L . Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate. Physica A, 2016, 461 (1): 419- 428
|
| 8 |
Jiang D Q , Zuo W J , Tasawar H , Ahmed A . Stationary distribution and periodic solutions for stochastic Holling-Leslie predator-prey systems. Physica A, 2016, 460 (15): 16- 28
|
| 9 |
Liu Q , Zu L , Jiang D Q . Dynamics of stochastic predator-prey models with Holling Ⅱ functional response. Commu Nonl Sci Numer Simulat, 2016, 37: 62- 76
doi: 10.1016/j.cnsns.2016.01.005
|
| 10 |
Guo W J , Cai Y L , Zhang Q M , Wang W M . Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage. Physica A, 2018, 492: 2220- 2236
doi: 10.1016/j.physa.2017.11.137
|
| 11 |
Liu M , Wang K . Survival analysis of a stochastic cooperation system in a polluted environment. J Biol Syst, 2011, 19: 183- 204
doi: 10.1142/S0218339011003877
|
| 12 |
张树文, 蔡明夷. 具脉冲输入毒素的单种群随机干扰模型. 应用数学学报, 2014, 37 (5): 797- 804
|
|
Zhang S W , Cai M Y . A single population model in a polluted environment with pulse toxicant input and random perturbations. Acta Math Appl Sinica, 2014, 37 (5): 797- 804
|
| 13 |
Rehim M , Sun L L , Abdurahman X , Teng Z D . Study of chemostat model with impulsive input and nutrient recycling in a polluted environment. Commun Nonl Sci Numer Simulat, 2011, 16: 2563- 2574
doi: 10.1016/j.cnsns.2010.09.030
|
| 14 |
王克. 随机生物数学模型. 北京: 科学出版社, 2010
|
|
Wang K . Random Biological Mathematical Model. Beijing: Science Press, 2010
|
| 15 |
Jiang D Q , Shi N Z , Li X Y . Global stability and stochastic permanence of nonautonomous lodistic equation with random perturbation. Math Anal Appl, 2008, 340: 588- 597
doi: 10.1016/j.jmaa.2007.08.014
|
| 16 |
Liu B , Teng Z D , Li X Y . Qualitative analysis of a stochastic ratio-dependent predator-prey system. J Comput Appl Math, 2011, 235: 1326- 1341
doi: 10.1016/j.cam.2010.08.021
|
| 17 |
Zuo W J , Jiang D Q . Stationary distribution and periodic solution for stochastic predator-prey systems with nonlinear predator harvesting. Commun Nonl Sci Numer Simulat, 2016, 36: 65- 68
doi: 10.1016/j.cnsns.2015.11.014
|
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