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2024
Cai, Yongmei and Li, Yuyuan and Mao, Xuerong (2024) Stationary distribution of periodic stochastic differential equations with Markov switching. Journal of Mathematical Analysis and Applications, 537 (2). 128291. ISSN 0022-247X
2022
Panovska-Griffiths, J. and Stuart, R.M. and Kerr, C.C. and Rosenfield, K. and Mistry, D. and Waites, W. and Klein, D.J. and Bonell, C. and Viner, R.M. (2022) Modelling the impact of reopening schools in the UK in early 2021 in the presence of the alpha variant and with roll-out of vaccination against SARS-CoV-2. Journal of Mathematical Analysis and Applications, 514 (2). 126050. ISSN 0022-247X
2019
Liu, Lie and Mao, Xuerong and Cao, Jinde (2019) Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function. Journal of Mathematical Analysis and Applications, 479 (2). pp. 1986-2006. ISSN 0022-247X
Cai, Siyang and Cai, Yongmei and Mao, Xuerong (2019) A stochastic differential equation SIS epidemic model with two independent Brownian motions. Journal of Mathematical Analysis and Applications, 474 (2). pp. 1536-1550. ISSN 0022-247X
Allen, D. and Grinfeld, M. and Sasportes, R. (2019) Point island dynamics under fixed rate deposition. Journal of Mathematical Analysis and Applications, 472 (2). pp. 1716-1728. ISSN 0022-247X
2018
Majumdar, Apala and Wang, Yiwei (2018) Remarks on uniaxial solutions in the Landau–de Gennes theory. Journal of Mathematical Analysis and Applications, 464 (1). pp. 328-353. ISSN 0022-247X
Song, Minghui and Mao, Xuerong (2018) Almost sure exponential stability of hybrid stochastic functional differential equations. Journal of Mathematical Analysis and Applications, 458 (2). pp. 1390-1408. ISSN 0022-247X
2017
Estrada, Ernesto and Silver, Grant (2017) Accounting for the role of long walks on networks via a new matrix function. Journal of Mathematical Analysis and Applications, 449 (2). pp. 1581-1600. ISSN 0022-247X
2015
McKee, S. and Cuminato, J. A. (2015) Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation. Journal of Mathematical Analysis and Applications, 423 (1). pp. 243-252. ISSN 0022-247X
2012
Gray, Alison and Greenhalgh, David and Mao, Xuerong and Pan, Jiafeng (2012) The SIS epidemic model with Markovian switching. Journal of Mathematical Analysis and Applications, 394 (2). pp. 496-516. ISSN 0022-247X
Banasiak, Jacek and Lamb, Wilson (2012) Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates. Journal of Mathematical Analysis and Applications, 391 (1). pp. 312-322. ISSN 0022-247X
Botta, V. and Meneguette, M. and Cuminato, J. A. and McKee, S. (2012) On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem. Journal of Mathematical Analysis and Applications, 385 (2). pp. 1151-1161. ISSN 0022-247X
2011
Li, Xiaoyue and Gray, Alison and Jiang, Daqing and Mao, Xuerong (2011) Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching. Journal of Mathematical Analysis and Applications, 376 (1). pp. 11-28. ISSN 0022-247X
2010
Behrndt, J. and Langer, M. and Lobanov, I. and Lotoreichik, V. and Popov, I. Yu. (2010) A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Journal of Mathematical Analysis and Applications, 371 (2). pp. 750-758. ISSN 0022-247X
2009
Luo, Q. and Mao, Xuerong, National Natural Science Foundation of China (Funder), EPSRC (UK) (Funder), London Mathematical Society (Funder), Edinburgh Mathematical Society (Funder) (2009) Stochastic population dynamics under regime switching II. Journal of Mathematical Analysis and Applications, 355 (2). pp. 577-593. ISSN 0022-247X
Mao, X. and Hu, G. and Liu, M. and Song, M., National Natural Science Foundation of China (Funder), London Mathematical Society (Funder), Royal Society of Edinburgh (Funder), Harbin Institute of Technology (Funder), University of Science and Technology Beijing (Funder) (2009) Noise suppresses exponential growth under regime switching. Journal of Mathematical Analysis and Applications, 355 (2). pp. 783-795. ISSN 0022-247X
2008
Wu, Fuke and Mao, Xuerong and Chen, Kan, Chinese Scholarship Council (Funder) (2008) A highly sensitive mean-reverting process in finance and the Euler-Maruyama approximations. Journal of Mathematical Analysis and Applications, 348 (1). pp. 540-554. ISSN 0022-247X
Yin, Juliang and Mao, Xuerong, NSF of Guangdong Province (Funder) (2008) The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications. Journal of Mathematical Analysis and Applications, 346 (2). pp. 345-358. ISSN 0022-247X
Dalal, N. and Greenhalgh, D. and Mao, X. (2008) A stochastic model for internal HIV dynamics. Journal of Mathematical Analysis and Applications, 341 (2). pp. 1084-1101. ISSN 0022-247X
2007
Blair, P.N. and Lamb, W. and Stewart, I.W. (2007) Coagulation and fragmentation with discrete mass loss. Journal of Mathematical Analysis and Applications, 329 (2). pp. 1285-1302. ISSN 0022-247X
2005
Mao, X. and Yuan, C. and Zou, J. (2005) Stochastic differential delay equations of population dynamics. Journal of Mathematical Analysis and Applications, 304 (1). pp. 296-320. ISSN 0022-247X
2004
Bahar, Arifah and Mao, Xuerong (2004) Stochastic delay Lotka-Volterra model. Journal of Mathematical Analysis and Applications, 292 (2). pp. 364-380. ISSN 0022-247X
2003
Mao, Xuerong and Sabanis, Sotirios and Renshaw, Eric (2003) Asymptotic behaviour of the stochastic Lotka-Volterra model. Journal of Mathematical Analysis and Applications, 287 (1). pp. 141-156. ISSN 0022-247X
Banasiak, Jacek and Lamb, Wilson (2003) On the application of substochastic semigroup theory to fragmentation models with mass loss. Journal of Mathematical Analysis and Applications, 284 (1). pp. 9-30. ISSN 0022-247X
2002
Mao, X. (2002) A note on the LaSalle-type theorems for stochastic differential delay equations. Journal of Mathematical Analysis and Applications, 268 (1). pp. 125-142. ISSN 0022-247X
1988
Jones, A.E. and Nisbet, R.M. and Gurney, William and Blythe, S.P. (1988) Period to delay ratios near stability boundaries for systems with delayed feedback. Journal of Mathematical Analysis and Applications, 135 (1). pp. 354-368. ISSN 0022-247X
1985
Blythe, S.P. and Nisbet, R.M. and Gurney, William and MacDonald, N. (1985) Stability switches in distributed delay models. Journal of Mathematical Analysis and Applications, 109 (2). pp. 388-396. ISSN 0022-247X