Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Zou, Xiufen Control strategies for a tumor-immune system with impulsive drug delivery under a random environment. (English) Zbl 1513.92032 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1141-1159 (2022). MSC: 92C50 34A37 60H30 PDFBibTeX XMLCite \textit{M. Huang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1141--1159 (2022; Zbl 1513.92032) Full Text: DOI
Zhao, Zhong; Pang, Liuyong; Song, Xinyu; Wang, Dongyun; Li, Qiuying Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes. (English) Zbl 1491.92138 J. Appl. Math. Comput. 68, No. 3, 1527-1544 (2022). MSC: 92D45 34C25 PDFBibTeX XMLCite \textit{Z. Zhao} et al., J. Appl. Math. Comput. 68, No. 3, 1527--1544 (2022; Zbl 1491.92138) Full Text: DOI
Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu Impulsive release strategies of sterile mosquitos for optimal control of wild population. (English) Zbl 1484.92146 J. Biol. Dyn. 15, No. 1, 151-176 (2021). MSC: 92D45 92D25 34C60 49J15 PDFBibTeX XMLCite \textit{M. Huang} et al., J. Biol. Dyn. 15, No. 1, 151--176 (2021; Zbl 1484.92146) Full Text: DOI
Zhang, Meng; Zhao, Yi; Song, Xinyu Dynamics of bilateral control system with state feedback for price adjustment strategy. (English) Zbl 1482.34129 Int. J. Biomath. 14, No. 5, Article ID 2150031, 17 p. (2021). MSC: 34C60 91B55 34A37 34C05 34D20 34D05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Int. J. Biomath. 14, No. 5, Article ID 2150031, 17 p. (2021; Zbl 1482.34129) Full Text: DOI
Huang, Mingzhan; Liu, Shouzong; Song, Xinyu Study of the sterile insect release technique for a two-sex mosquito population model. (English) Zbl 1471.92392 Math. Biosci. Eng. 18, No. 2, 1314-1339 (2021). MSC: 92D45 34D23 49J15 PDFBibTeX XMLCite \textit{M. Huang} et al., Math. Biosci. Eng. 18, No. 2, 1314--1339 (2021; Zbl 1471.92392) Full Text: DOI
Huang, Mingzhan; Liu, Shouzong; Xu, Dashun; Song, Xinyu; Wang, Juan Analysis of a negative binomial host-parasitoid model with two maturation delays and impulsive resource input. (English) Zbl 1448.92197 J. Biol. Dyn. 13, No. 1, 245-268 (2019). MSC: 92D25 34K13 34K45 PDFBibTeX XMLCite \textit{M. Huang} et al., J. Biol. Dyn. 13, No. 1, 245--268 (2019; Zbl 1448.92197) Full Text: DOI
Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong Modeling impulsive resource inputs in host-parasitoid interactions with time delays. (English) Zbl 1397.34147 Int. J. Biomath. 11, No. 5, Article ID 1850064, 26 p. (2018). MSC: 34K60 34K45 92D25 34K13 34K25 47N20 PDFBibTeX XMLCite \textit{S. Liu} et al., Int. J. Biomath. 11, No. 5, Article ID 1850064, 26 p. (2018; Zbl 1397.34147) Full Text: DOI
Huang, Mingzhan; Song, Xinyu; Li, Jia Modelling and analysis of impulsive releases of sterile mosquitoes. (English) Zbl 1448.92296 J. Biol. Dyn. 11, No. 1, 147-171 (2017). MSC: 92D30 92D25 34D23 34C25 PDFBibTeX XMLCite \textit{M. Huang} et al., J. Biol. Dyn. 11, No. 1, 147--171 (2017; Zbl 1448.92296) Full Text: DOI
Huang, Mingzhan; Liu, Shouzong; Song, Xinyu Stability of glucose-insulin regulation system with insulin impulsive injection and two physiology delays. (Chinese. English summary) Zbl 1389.34260 Math. Appl. 30, No. 3, 556-561 (2017). MSC: 34K60 92C30 34K13 34K20 47N20 34K25 37N25 PDFBibTeX XMLCite \textit{M. Huang} et al., Math. Appl. 30, No. 3, 556--561 (2017; Zbl 1389.34260)
Guo, Hongjian; Chen, Lansun; Song, Xinyu Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control. (English) Zbl 1376.34047 Int. J. Biomath. 10, No. 7, Article ID 1750093, 21 p. (2017). MSC: 34C60 34C25 34D20 92D30 34A37 93B52 PDFBibTeX XMLCite \textit{H. Guo} et al., Int. J. Biomath. 10, No. 7, Article ID 1750093, 21 p. (2017; Zbl 1376.34047) Full Text: DOI
Guo, Hongjian; Chen, Lansun; Song, Xinyu Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property. (English) Zbl 1410.93053 Appl. Math. Comput. 271, 905-922 (2015). MSC: 93C15 34A37 92D40 37N25 PDFBibTeX XMLCite \textit{H. Guo} et al., Appl. Math. Comput. 271, 905--922 (2015; Zbl 1410.93053) Full Text: DOI
Song, Xinyu; Huang, Mingzhan; Li, Jiaxu Modeling impulsive insulin delivery in insulin pump with time delays. (English) Zbl 1330.92060 SIAM J. Appl. Math. 74, No. 6, 1763-1785 (2014). MSC: 92C50 34K45 34D20 92D25 PDFBibTeX XMLCite \textit{X. Song} et al., SIAM J. Appl. Math. 74, No. 6, 1763--1785 (2014; Zbl 1330.92060) Full Text: DOI
Guo, Hongjian; Sun, Yan; Song, Xinyu; Chen, Lansun The existence of periodic solutions of a linear semi-continuous dynamical system with node type. (Chinese. English summary) Zbl 1313.34122 J. Biomath. 28, No. 2, 220-224 (2013). MSC: 34C25 34A37 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Biomath. 28, No. 2, 220--224 (2013; Zbl 1313.34122)
Shi, Xiangyun; Song, Xinyu On the study of an integrated pest control model with state-dependent impulsive effect. (Chinese. English summary) Zbl 1289.34124 J. Syst. Sci. Math. Sci. 32, No. 7, 799-810 (2012). MSC: 34C60 34A37 34D05 34D20 92D40 PDFBibTeX XMLCite \textit{X. Shi} and \textit{X. Song}, J. Syst. Sci. Math. Sci. 32, No. 7, 799--810 (2012; Zbl 1289.34124)
Guo, Hongjian; Chen, Lansun; Song, Xinyu Periodic solutions of a class of semi-continuous dynamical systems with center equilibrium. (Chinese. English summary) Zbl 1265.34146 J. Biomath. 27, No. 1, 109-119 (2012). MSC: 34C25 34A37 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Biomath. 27, No. 1, 109--119 (2012; Zbl 1265.34146)
Wang, Xia; Wang, Fuqun; Song, Xinyu A delayed Beddington-DeAngelis chemostat model. (English) Zbl 1247.92049 Math. Appl. 24, No. 4, 763-769 (2011). MSC: 92D40 34K45 34K13 PDFBibTeX XMLCite \textit{X. Wang} et al., Math. Appl. 24, No. 4, 763--769 (2011; Zbl 1247.92049)
Wang, Xia; Guo, Zhen; Song, Xinyu Dynamical behavior of a pest management model with impulsive effect and nonlinear incidence rate. (English) Zbl 1237.34097 Comput. Appl. Math. 30, No. 2, 381-398 (2011). MSC: 34C60 92D30 34D05 34D20 34A37 34C25 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Appl. Math. 30, No. 2, 381--398 (2011; Zbl 1237.34097) Full Text: DOI Link
Wang, Xia; Tao, Youde; Song, Xinyu Complex dynamics of a Beddington-DeAngelis epidemic model with pulse. (English) Zbl 1242.34090 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 3, 383-401 (2011). Reviewer: E. Ahmed (Mansoura) MSC: 34C60 34C05 92D30 34D20 34C23 PDFBibTeX XMLCite \textit{X. Wang} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 3, 383--401 (2011; Zbl 1242.34090) Full Text: Link
Li, An; Song, Xinyu Stability and boundedness of nonlinear impulsive systems in terms of two measures via perturbing Lyapunov functions. (English) Zbl 1216.34011 J. Math. Anal. Appl. 375, No. 1, 276-283 (2011). Reviewer: Gani T. Stamov (Sliven) MSC: 34A37 34D20 34C11 PDFBibTeX XMLCite \textit{A. Li} and \textit{X. Song}, J. Math. Anal. Appl. 375, No. 1, 276--283 (2011; Zbl 1216.34011) Full Text: DOI
Guo, Hongjian; Chen, Lansun; Song, Xinyu Mathematical models of restoration and control of a single species with Allee effect. (English) Zbl 1201.34016 Appl. Math. Modelling 34, No. 11, 3264-3272 (2010). MSC: 34A37 34C25 92D25 PDFBibTeX XMLCite \textit{H. Guo} et al., Appl. Math. Modelling 34, No. 11, 3264--3272 (2010; Zbl 1201.34016) Full Text: DOI
Guo, Hongjian; Chen, Lansun; Song, Xinyu Feasibility of time-limited control of a competition system with impulsive harvest. (English) Zbl 1190.34056 Nonlinear Anal., Real World Appl. 11, No. 1, 163-171 (2010). Reviewer: Fuhua Ling (Milpitas) MSC: 34C60 34A37 92D25 34H05 PDFBibTeX XMLCite \textit{H. Guo} et al., Nonlinear Anal., Real World Appl. 11, No. 1, 163--171 (2010; Zbl 1190.34056) Full Text: DOI
Wang, Xia; Tao, Youde; Song, Xinyu Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. (English) Zbl 1205.34102 Appl. Math. Modelling 33, No. 7, 3099-3106 (2009). MSC: 34K45 92D25 34D05 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 33, No. 7, 3099--3106 (2009; Zbl 1205.34102) Full Text: DOI
Song, Xinyu; Li, Senlin; Li, An Analysis of a stage-structured predator-prey system with impulsive perturbations and time delays. (English) Zbl 1159.34053 J. Korean Math. Soc. 46, No. 1, 71-82 (2009). MSC: 34K45 34C25 92D25 PDFBibTeX XMLCite \textit{X. Song} et al., J. Korean Math. Soc. 46, No. 1, 71--82 (2009; Zbl 1159.34053) Full Text: DOI
Li, Yongfeng; Cui, Jingan; Song, Xinyu Asymptotic behaviour of the non-autonomous competing two-species Lotka-Volterra models with impulsive effect. (English) Zbl 1169.34034 J. Biol. Dyn. 3, No. 1, 58-72 (2009). Reviewer: Hong Zhang (Umeå) MSC: 34C60 34A37 92D25 34D05 34C25 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Biol. Dyn. 3, No. 1, 58--72 (2009; Zbl 1169.34034) Full Text: DOI
Guo, Hongjian; Chen, Lansun; Song, Xinyu Time-limited management strategies of a single-species with Allee effect. (English) Zbl 1254.92078 Rocky Mt. J. Math. 38, No. 5, 1403-1420 (2008). MSC: 92D25 34B37 PDFBibTeX XMLCite \textit{H. Guo} et al., Rocky Mt. J. Math. 38, No. 5, 1403--1420 (2008; Zbl 1254.92078) Full Text: DOI
Li, Senlin; Song, Xinyu; Li, An Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions. (English) Zbl 1156.34329 Nonlinear Anal., Real World Appl. 9, No. 5, 2262-2269 (2008). MSC: 34D20 34A37 93D05 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Real World Appl. 9, No. 5, 2262--2269 (2008; Zbl 1156.34329) Full Text: DOI
Guo, Hongjian; Song, Xinyu; Chen, Lansun Dynamic behaviors of a kind of predator-prey system with Ivlev’s and Beddington-DeAngelis’ functional response and impulsive release. (English) Zbl 1154.92038 Stoch. Dyn. 8, No. 4, 667-681 (2008). MSC: 92D40 34A37 34C25 37N25 34C23 PDFBibTeX XMLCite \textit{H. Guo} et al., Stoch. Dyn. 8, No. 4, 667--681 (2008; Zbl 1154.92038) Full Text: DOI
Li, Yongfeng; Cui, Jingan; Song, Xinyu Dynamics of a predator-prey system with pulses. (English) Zbl 1152.92354 Appl. Math. Comput. 204, No. 1, 269-280 (2008). MSC: 92D40 34A37 34H05 65C60 37N25 34C60 34D05 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 204, No. 1, 269--280 (2008; Zbl 1152.92354) Full Text: DOI
Zhao, Zhong; Chen, Lansun; Song, Xinyu Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. (English) Zbl 1151.92030 Math. Comput. Simul. 79, No. 3, 500-510 (2008). MSC: 92D30 34K45 34A37 34K13 37N25 34C25 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Math. Comput. Simul. 79, No. 3, 500--510 (2008; Zbl 1151.92030) Full Text: DOI
Wang, Xia; Song, Xinyu Mathematical models for the control of a pest population by infected pest. (English) Zbl 1145.92339 Comput. Math. Appl. 56, No. 1, 266-278 (2008). MSC: 92D30 34H05 34A37 34C60 34D23 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Song}, Comput. Math. Appl. 56, No. 1, 266--278 (2008; Zbl 1145.92339) Full Text: DOI
Guo, Hongjian; Peng, Yucheng; Song, Xinyu A kind of predator-prey systems with different functional response and impulsive release. (Chinese. English summary) Zbl 1150.92340 J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 5-8 (2007). MSC: 92D40 34K45 34K20 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Henan Norm. Univ., Nat. Sci. 35, No. 2, 5--8 (2007; Zbl 1150.92340)
Xiang, Zhongyi; Song, Xinyu Dynamics of a one-predator two-prey model concerning impulsive perturbations. (Chinese. English summary) Zbl 1168.92332 Appl. Math., Ser. A (Chin. Ed.) 22, No. 2, 159-166 (2007). MSC: 92D40 34A37 34C25 34D05 PDFBibTeX XMLCite \textit{Z. Xiang} and \textit{X. Song}, Appl. Math., Ser. A (Chin. Ed.) 22, No. 2, 159--166 (2007; Zbl 1168.92332)
Song, Xinyu; Xiang, Zhongyi The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects. (English) Zbl 1447.92368 J. Theor. Biol. 242, No. 3, 683-698 (2006). MSC: 92D25 34D23 34C25 34C23 34D45 PDFBibTeX XMLCite \textit{X. Song} and \textit{Z. Xiang}, J. Theor. Biol. 242, No. 3, 683--698 (2006; Zbl 1447.92368) Full Text: DOI
Shi, Xiangyun; Song, Xinyu Analysis of a chemostat model with pulsed input. (English) Zbl 1122.92068 J. Biol. Syst. 14, No. 4, 583-598 (2006). MSC: 92D40 34A37 34C25 34C60 34D20 PDFBibTeX XMLCite \textit{X. Shi} and \textit{X. Song}, J. Biol. Syst. 14, No. 4, 583--598 (2006; Zbl 1122.92068) Full Text: DOI
Shi, Xiangyun; Song, Xinyu; Zhou, Xueyong Analysis of a model of plasmid-bearing, plasmid-free competition in a pulsed chemostat. (English) Zbl 1108.92045 Adv. Complex Syst. 9, No. 3, 263-276 (2006). MSC: 92D40 34C25 34C23 34C60 PDFBibTeX XMLCite \textit{X. Shi} et al., Adv. Complex Syst. 9, No. 3, 263--276 (2006; Zbl 1108.92045) Full Text: DOI