Zhang, Xuekang; Shu, Huisheng; Liu, Dajun Stability of stochastic Gilpin-Ayala model driven by \(\alpha\)-stable process under regime switching. (English) Zbl 07859016 Commun. Stat., Theory Methods 53, No. 10, 3459-3471 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Han, Bingtao; Jiang, Daqing; Zhou, Baoquan Stationary distribution and periodic solution of a stochastic \(n\)-species Gilpin-Ayala competition system with general saturation effect and nonlinear perturbations. (English) Zbl 1517.34065 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 46, 38 p. (2023). MSC: 34C60 92D25 34F05 60H10 60E05 34C25 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Jing; Han, Qixing; Jiang, Daqing; Yang, Yanyan Dynamics of an autonomous Gilpin-Ayala competition model with random perturbation. (English) Zbl 1476.92034 Int. J. Biomath. 14, No. 3, Article ID 2050043, 21 p. (2021). MSC: 92D25 34E10 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Ying; Li, Yingjian; Ding, Xiaohua Global exponential stability of multi-group models with multiple dispersal and stochastic perturbation based on graph-theoretic approach. (English) Zbl 1499.93078 Filomat 31, No. 16, 5125-5138 (2017). MSC: 93E15 93D23 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yanhua Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps. (English) Zbl 1412.60087 J. Nonlinear Sci. Appl. 10, No. 4, 2079-2093 (2017). MSC: 60H10 92D25 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Yeol Je; Kim, Young-Ho Carathéodory’s approximate solution to stochastic differential delay equation. (English) Zbl 1412.60077 J. Nonlinear Sci. Appl. 10, No. 4, 1365-1376 (2017). MSC: 60H05 60H10 60H20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Qun Asymptotic properties of a stochastic \(n\)-species Gilpin-Ayala competitive model with Lévy jumps and Markovian switching. (English) Zbl 1440.92055 Commun. Nonlinear Sci. Numer. Simul. 26, No. 1-3, 1-10 (2015). MSC: 92D25 34F05 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xinhong; Li, Wenxue; Liu, Meng; Wang, Ke Dynamics of a stochastic Holling II one-predator two-prey system with jumps. (English) Zbl 1395.37059 Physica A 421, 571-582 (2015). MSC: 37N25 92D25 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xinhong; Wang, Ke Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala competition model with jumps. (English) Zbl 1333.34083 Appl. Anal. 94, No. 12, 2588-2604 (2015). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 34C60 34F05 92D25 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xinhong; Wang, Ke Stability analysis of a stochastic Gilpin-Ayala model driven by Lévy noise. (English) Zbl 1457.34096 Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1391-1399 (2014). MSC: 34F05 34D20 92D25 93E15 × Cite Format Result Cite Review PDF Full Text: DOI
Zang, Yanchao; Li, Junping; Liu, Jiangang Dynamics of nonautonomous stochastic Gilpin-Ayala competition model with jumps. (English) Zbl 1470.34154 Abstr. Appl. Anal. 2013, Article ID 978151, 12 p. (2013). MSC: 34F05 34D05 60J76 92D25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liu, Meng; Wang, Ke Dynamics of a non-autonomous stochastic Gilpin-Ayala model. (English) Zbl 1302.60098 J. Appl. Math. Comput. 43, No. 1-2, 351-368 (2013). Reviewer: Andrew Dale (Durban) MSC: 60H30 60H10 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Vasilova, Maja; Jovanović, Miljana Stochastic Gilpin-Ayala competition model with infinite delay. (English) Zbl 1206.92070 Appl. Math. Comput. 217, No. 10, 4944-4959 (2011). MSC: 92D40 34F05 34K60 × Cite Format Result Cite Review PDF Full Text: DOI