Cai, Yongmei; Guo, Qian; Mao, Xuerong Positivity preserving truncated scheme for the stochastic Lotka-Volterra model with small moment convergence. (English) Zbl 1518.65011 Calcolo 60, No. 2, Paper No. 24, 21 p. (2023). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{Y. Cai} et al., Calcolo 60, No. 2, Paper No. 24, 21 p. (2023; Zbl 1518.65011) Full Text: DOI
Li, Dan; Wei, Fengying; Mao, Xuerong Stationary distribution and density function of a stochastic SVIR epidemic model. (English) Zbl 1501.92170 J. Franklin Inst. 359, No. 16, 9422-9449 (2022). MSC: 92D30 92C60 60H30 35Q84 PDFBibTeX XMLCite \textit{D. Li} et al., J. Franklin Inst. 359, No. 16, 9422--9449 (2022; Zbl 1501.92170) Full Text: DOI
Mao, Xuerong; Wei, Fengying; Wiriyakraikul, Teerapot Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. (English) Zbl 1465.65008 J. Comput. Appl. Math. 394, Article ID 113566, 17 p. (2021). MSC: 65C30 60H10 60H35 65L20 92D40 PDFBibTeX XMLCite \textit{X. Mao} et al., J. Comput. Appl. Math. 394, Article ID 113566, 17 p. (2021; Zbl 1465.65008) Full Text: DOI
Greenhalgh, David; Liang, Yanfeng; Mao, Xuerong Demographic stochasticity in the SDE SIS epidemic model. (English) Zbl 1326.34081 Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 2859-2884 (2015). MSC: 34C60 34F05 60H10 60H30 92D30 93E03 PDFBibTeX XMLCite \textit{D. Greenhalgh} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 2859--2884 (2015; Zbl 1326.34081) Full Text: DOI
Mao, Xuerong; Szpruch, Lukasz Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. (English) Zbl 1304.65009 Stochastics 85, No. 1, 144-171 (2013). Reviewer: Robert G. Buschman (Bandon) MSC: 65C30 65L20 60H10 60H35 34F05 65C05 PDFBibTeX XMLCite \textit{X. Mao} and \textit{L. Szpruch}, Stochastics 85, No. 1, 144--171 (2013; Zbl 1304.65009) Full Text: DOI
Gray, A.; Greenhalgh, D.; Hu, L.; Mao, X.; Pan, J. A stochastic differential equation SIS epidemic model. (English) Zbl 1263.34068 SIAM J. Appl. Math. 71, No. 3, 876-902 (2011). Reviewer: George Karakostas (Ioannina) MSC: 34C60 34F05 60H10 92D25 92D30 PDFBibTeX XMLCite \textit{A. Gray} et al., SIAM J. Appl. Math. 71, No. 3, 876--902 (2011; Zbl 1263.34068) Full Text: DOI
Szpruch, Lukasz; Mao, Xuerong; Higham, Desmond J.; Pan, Jiazhu Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model. (English) Zbl 1230.65011 BIT 51, No. 2, 405-425 (2011). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 60H10 60H35 34F05 65C05 91G30 91G60 PDFBibTeX XMLCite \textit{L. Szpruch} et al., BIT 51, No. 2, 405--425 (2011; Zbl 1230.65011) Full Text: DOI
Yin, Juliang; Mao, Xuerong; Wu, Fuke Generalized stochastic delay Lotka-Volterra systems. (English) Zbl 1173.60330 Stoch. Models 25, No. 3, 436-454 (2009). MSC: 60H10 60J65 34K40 PDFBibTeX XMLCite \textit{J. Yin} et al., Stoch. Models 25, No. 3, 436--454 (2009; Zbl 1173.60330) Full Text: DOI
Wu, Fuke; Mao, Xuerong; Chen, Kan The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler-Maruyama approximate solutions. (English) Zbl 1172.65009 Appl. Numer. Math. 59, No. 10, 2641-2658 (2009). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 60H10 60H35 34K50 65L20 PDFBibTeX XMLCite \textit{F. Wu} et al., Appl. Numer. Math. 59, No. 10, 2641--2658 (2009; Zbl 1172.65009) Full Text: DOI
Bahar, Arifah; Mao, Xuerong Persistence of stochastic power law logistic model. (English) Zbl 1302.60090 J. Appl. Probab. Stat. 3, No. 1, 37-43 (2008). MSC: 60H10 65C30 37H10 PDFBibTeX XMLCite \textit{A. Bahar} and \textit{X. Mao}, J. Appl. Probab. Stat. 3, No. 1, 37--43 (2008; Zbl 1302.60090)
Bahar, Arifah; Mao, Xuerong Stochastic delay population dynamics. (English) Zbl 1043.92028 Int. J. Pure Appl. Math. 11, No. 4, 377-400 (2004). Reviewer: Evelyn Buckwar (Berlin) MSC: 92D25 60H10 34K50 PDFBibTeX XMLCite \textit{A. Bahar} and \textit{X. Mao}, Int. J. Pure Appl. Math. 11, No. 4, 377--400 (2004; Zbl 1043.92028)