Liu, Meng; Wang, Hongbin; Jiang, Weihua Bifurcations and pattern formation in a predator-prey model with memory-based diffusion. (English) Zbl 1509.35036 J. Differ. Equations 350, 1-40 (2023). MSC: 35B36 35B32 35K51 35K57 37L10 PDFBibTeX XMLCite \textit{M. Liu} et al., J. Differ. Equations 350, 1--40 (2023; Zbl 1509.35036) Full Text: DOI
Zhou, Dengxia; Liu, Meng; Liu, Zhijun Persistence and extinction of a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes. (English) Zbl 1482.92086 Adv. Difference Equ. 2020, Paper No. 179, 15 p. (2020). MSC: 92D25 92D40 60H10 34C60 34F05 PDFBibTeX XMLCite \textit{D. Zhou} et al., Adv. Difference Equ. 2020, Paper No. 179, 15 p. (2020; Zbl 1482.92086) Full Text: DOI
Liu, Meng Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting. (English) Zbl 1437.37120 Nonlinear Dyn. 96, No. 1, 417-442 (2019). MSC: 37N25 60H10 60H30 92D25 PDFBibTeX XMLCite \textit{M. Liu}, Nonlinear Dyn. 96, No. 1, 417--442 (2019; Zbl 1437.37120) Full Text: DOI
He, Xin; Shan, Meijing; Liu, Meng Persistence and extinction of an \(n\)-species mutualism model with random perturbations in a polluted environment. (English) Zbl 1514.92087 Physica A 491, 313-324 (2018). MSC: 92D25 92D40 34D05 34F05 PDFBibTeX XMLCite \textit{X. He} et al., Physica A 491, 313--324 (2018; Zbl 1514.92087) Full Text: DOI
Liu, Meng; Zhu, Yu Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps. (English) Zbl 1420.60071 Nonlinear Anal., Hybrid Syst. 30, 225-239 (2018). MSC: 60H10 60G51 92D25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{Y. Zhu}, Nonlinear Anal., Hybrid Syst. 30, 225--239 (2018; Zbl 1420.60071) Full Text: DOI
Liu, Meng; Du, Chenxi; Deng, Meiling Persistence and extinction of a modified Leslie-Gower Holling-type II stochastic predator-prey model with impulsive toxicant input in polluted environments. (English) Zbl 1382.92222 Nonlinear Anal., Hybrid Syst. 27, 177-190 (2018). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{M. Liu} et al., Nonlinear Anal., Hybrid Syst. 27, 177--190 (2018; Zbl 1382.92222) Full Text: DOI
Yu, Jingyi; Liu, Meng Stationary distribution and ergodicity of a stochastic food-chain model with Lévy jumps. (English) Zbl 1495.92063 Physica A 482, 14-28 (2017). MSC: 92D25 92D40 34F05 PDFBibTeX XMLCite \textit{J. Yu} and \textit{M. Liu}, Physica A 482, 14--28 (2017; Zbl 1495.92063) Full Text: DOI
Geng, Jing; Liu, Meng; Zhang, Youqiang Stability of a stochastic one-predator-two-prey population model with time delays. (English) Zbl 1510.92161 Commun. Nonlinear Sci. Numer. Simul. 53, 65-82 (2017). MSC: 92D25 34K20 34K50 34K60 PDFBibTeX XMLCite \textit{J. Geng} et al., Commun. Nonlinear Sci. Numer. Simul. 53, 65--82 (2017; Zbl 1510.92161) Full Text: DOI
He, Xin; Liu, Meng Dynamics of a stochastic delay competition model with imprecise parameters. (English) Zbl 1412.92260 J. Nonlinear Sci. Appl. 10, No. 9, 4776-4788 (2017). MSC: 92D25 60H10 60H30 PDFBibTeX XMLCite \textit{X. He} and \textit{M. Liu}, J. Nonlinear Sci. Appl. 10, No. 9, 4776--4788 (2017; Zbl 1412.92260) Full Text: DOI
Liu, Meng; Deng, Meiling; Wang, Zhaojuan Permanence of a stochastic delay competition model with Lévy jumps. (English) Zbl 1412.92263 J. Nonlinear Sci. Appl. 10, No. 6, 3245-3260 (2017). MSC: 92D25 60H10 60H30 PDFBibTeX XMLCite \textit{M. Liu} et al., J. Nonlinear Sci. Appl. 10, No. 6, 3245--3260 (2017; Zbl 1412.92263) Full Text: DOI
Liu, Meng; Fan, Meng Permanence of stochastic Lotka-Volterra systems. (English) Zbl 1387.60106 J. Nonlinear Sci. 27, No. 2, 425-452 (2017). MSC: 60H30 60H10 92D25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{M. Fan}, J. Nonlinear Sci. 27, No. 2, 425--452 (2017; Zbl 1387.60106) Full Text: DOI
Zhu, Yu; Liu, Meng Permanence and extinction in a stochastic service-resource mutualism model. (English) Zbl 1400.92598 Appl. Math. Lett. 69, 1-7 (2017). MSC: 92D40 60H10 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{M. Liu}, Appl. Math. Lett. 69, 1--7 (2017; Zbl 1400.92598) Full Text: DOI
Liu, Meng; Bai, Chuanzhi; Jin, Yi Population dynamical behavior of a two-predator one-prey stochastic model with time delay. (English) Zbl 1357.34095 Discrete Contin. Dyn. Syst. 37, No. 5, 2513-2538 (2017). MSC: 34F05 60H10 92B05 60J27 PDFBibTeX XMLCite \textit{M. Liu} et al., Discrete Contin. Dyn. Syst. 37, No. 5, 2513--2538 (2017; Zbl 1357.34095) Full Text: DOI
Liu, Zhijun; Guo, Shengliang; Tan, Ronghua; Liu, Meng Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations. (English) Zbl 1465.92095 Appl. Math. Modelling 40, No. 9-10, 5510-5531 (2016). MSC: 92D25 34A37 34D05 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Modelling 40, No. 9--10, 5510--5531 (2016; Zbl 1465.92095) Full Text: DOI
Liu, Meng; Bai, Chuanzhi Dynamics of a stochastic one-prey two-predator model with Lévy jumps. (English) Zbl 1410.92102 Appl. Math. Comput. 284, 308-321 (2016). MSC: 92D25 37N25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Bai}, Appl. Math. Comput. 284, 308--321 (2016; Zbl 1410.92102) Full Text: DOI
Liu, Meng; Bai, Chuanzhi; Deng, Meiling; Du, Bo Analysis of stochastic two-prey one-predator model with Lévy jumps. (English) Zbl 1400.92437 Physica A 445, 176-188 (2016). MSC: 92D25 34F05 60J75 PDFBibTeX XMLCite \textit{M. Liu} et al., Physica A 445, 176--188 (2016; Zbl 1400.92437) Full Text: DOI
Liu, Meng; Bai, Chuanzhi Analysis of a stochastic tri-trophic food-chain model with harvesting. (English) Zbl 1347.92067 J. Math. Biol. 73, No. 3, 597-625 (2016). MSC: 92D25 60H30 60H10 93E20 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Bai}, J. Math. Biol. 73, No. 3, 597--625 (2016; Zbl 1347.92067) Full Text: DOI
Yao, Qiao; Liu, Meng Global asymptotic stability of stochastic competitive system with infinite delays. (English) Zbl 1333.60131 J. Appl. Math. Comput. 50, No. 1-2, 93-107 (2016). MSC: 60H10 60H30 60J25 92D25 PDFBibTeX XMLCite \textit{Q. Yao} and \textit{M. Liu}, J. Appl. Math. Comput. 50, No. 1--2, 93--107 (2016; Zbl 1333.60131) Full Text: DOI
Liu, Meng; Mandal, Partha Sarathi Dynamical behavior of a one-prey two-predator model with random perturbations. (English) Zbl 1510.92169 Commun. Nonlinear Sci. Numer. Simul. 28, No. 1-3, 123-137 (2015). MSC: 92D25 60H25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{P. S. Mandal}, Commun. Nonlinear Sci. Numer. Simul. 28, No. 1--3, 123--137 (2015; Zbl 1510.92169) Full Text: DOI
Liu, Meng; Deng, Meiling; Du, Bo Analysis of a stochastic logistic model with diffusion. (English) Zbl 1410.34172 Appl. Math. Comput. 266, 169-182 (2015). MSC: 34F05 92D25 60H10 60H20 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Math. Comput. 266, 169--182 (2015; Zbl 1410.34172) 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 PDFBibTeX XMLCite \textit{X. Zhang} et al., Physica A 421, 571--582 (2015; Zbl 1395.37059) Full Text: DOI
Liu, Meng; Bai, Chuanzhi A remark on a stochastic logistic model with Lévy jumps. (English) Zbl 1328.34050 Appl. Math. Comput. 251, 521-526 (2015). MSC: 34F05 34D05 60H10 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Bai}, Appl. Math. Comput. 251, 521--526 (2015; Zbl 1328.34050) Full Text: DOI
Deng, Meiling; Liu, Meng; Bai, Chuanzhi Dynamics of a stochastic delayed competitive model with impulsive toxicant input in polluted environments. (English) Zbl 1474.34492 Abstr. Appl. Anal. 2014, Article ID 634871, 8 p. (2014). MSC: 34K20 34K45 34K50 92D40 93E15 PDFBibTeX XMLCite \textit{M. Deng} et al., Abstr. Appl. Anal. 2014, Article ID 634871, 8 p. (2014; Zbl 1474.34492) Full Text: DOI
Zou, Xiaoling; Wang, Ke; Liu, Meng Can protection zone potentially strengthen protective effects in random environments? (English) Zbl 1410.60061 Appl. Math. Comput. 231, 26-38 (2014). MSC: 60H10 92D25 60J70 PDFBibTeX XMLCite \textit{X. Zou} et al., Appl. Math. Comput. 231, 26--38 (2014; Zbl 1410.60061) Full Text: DOI
Liu, Meng; Bai, Chuan Zhi On a stochastic delayed predator-prey model with Lévy jumps. (English) Zbl 1365.92097 Appl. Math. Comput. 228, 563-570 (2014). MSC: 92D25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Z. Bai}, Appl. Math. Comput. 228, 563--570 (2014; Zbl 1365.92097) Full Text: DOI
Liu, Meng; Bai, Chuan Zhi A remark on stochastic logistic model with diffusion. (English) Zbl 1365.92096 Appl. Math. Comput. 228, 141-146 (2014). MSC: 92D25 34F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Z. Bai}, Appl. Math. Comput. 228, 141--146 (2014; Zbl 1365.92096) Full Text: DOI
Liu, Meng; Bai, Chuanzhi Global asymptotic stability of a stochastic delayed predator-prey model with Beddington-DeAngelis functional response. (English) Zbl 1354.92067 Appl. Math. Comput. 226, 581-588 (2014). MSC: 92D25 34D23 PDFBibTeX XMLCite \textit{M. Liu} and \textit{C. Bai}, Appl. Math. Comput. 226, 581--588 (2014; Zbl 1354.92067) Full Text: DOI
Liu, Meng; Wang, Ke Stochastic Lotka-Volterra systems with Lévy noise. (English) Zbl 1327.92046 J. Math. Anal. Appl. 410, No. 2, 750-763 (2014). MSC: 92D25 34F05 34D05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Math. Anal. Appl. 410, No. 2, 750--763 (2014; Zbl 1327.92046) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Appl. Math. Comput. 43, No. 1--2, 351--368 (2013; Zbl 1302.60098) Full Text: DOI
Liu, Meng; Wang, Ke The threshold between permanence and extinction for a stochastic logistic model with regime switching. (English) Zbl 1302.60097 J. Appl. Math. Comput. 43, No. 1-2, 329-349 (2013). Reviewer: Andrew Dale (Durban) MSC: 60H30 60H10 92D25 60J25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Appl. Math. Comput. 43, No. 1--2, 329--349 (2013; Zbl 1302.60097) Full Text: DOI
Liu, Meng Analysis of stochastic delay predator-prey system with impulsive toxicant input in polluted environments. (English) Zbl 1304.34140 Abstr. Appl. Anal. 2013, Article ID 139216, 9 p. (2013). MSC: 34K60 34K50 34K45 92D25 92D40 34K25 PDFBibTeX XMLCite \textit{M. Liu}, Abstr. Appl. Anal. 2013, Article ID 139216, 9 p. (2013; Zbl 1304.34140) Full Text: DOI
Liu, Meng; Wang, Ke Dynamics of a two-prey one-predator system in random environments. (English) Zbl 1279.92088 J. Nonlinear Sci. 23, No. 5, 751-775 (2013). Reviewer: Vivek S. Borkar (Mumbai) MSC: 92D40 60J70 92-08 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Nonlinear Sci. 23, No. 5, 751--775 (2013; Zbl 1279.92088) Full Text: DOI
Qiu, Hong; Liu, Meng; Wang, Ke; Wang, Yang Dynamics of a stochastic predator-prey system with Beddington-DeAngelis functional response. (English) Zbl 1291.92093 Appl. Math. Comput. 219, No. 4, 2303-2312 (2012). MSC: 92D25 60H10 PDFBibTeX XMLCite \textit{H. Qiu} et al., Appl. Math. Comput. 219, No. 4, 2303--2312 (2012; Zbl 1291.92093) Full Text: DOI
Liu, Meng; Wang, Ke Asymptotic properties and simulations of a stochastic logistic model under regime switching II. (English) Zbl 1255.60129 Math. Comput. Modelling 55, No. 3-4, 405-418 (2012). MSC: 60J28 34D05 92D40 34F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Math. Comput. Modelling 55, No. 3--4, 405--418 (2012; Zbl 1255.60129) Full Text: DOI
Liu, Meng; Wang, Ke Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation. (English) Zbl 1254.34074 Appl. Math. Modelling 36, No. 11, 5344-5353 (2012). MSC: 34D23 92D25 34D10 34F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Appl. Math. Modelling 36, No. 11, 5344--5353 (2012; Zbl 1254.34074) Full Text: DOI
Liu, Meng; Wang, Ke On a stochastic logistic equation with impulsive perturbations. (English) Zbl 1247.60085 Comput. Math. Appl. 63, No. 5, 871-886 (2012); corrigendum ibid. 64, No. 6, 2158 (2012). MSC: 60H10 34A37 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Comput. Math. Appl. 63, No. 5, 871--886 (2012; Zbl 1247.60085) Full Text: DOI
Liu, Meng; Wang, Ke Global asymptotic stability of a stochastic Lotka-Volterra model with infinite delays. (English) Zbl 1250.34065 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3115-3123 (2012); corrigendum ibid. 17, No. 12, 5296 (2012). MSC: 34K60 34K20 34K50 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3115--3123 (2012; Zbl 1250.34065) Full Text: DOI
Liu, Meng; Wang, Ke Stochastic logistic equation with infinite delay. (English) Zbl 1248.34122 Math. Methods Appl. Sci. 35, No. 7, 812-827 (2012); correction ibid. 35, No. 16, 1997 (2012). Reviewer: Yong Ren (Wuhu) MSC: 34K50 92D25 34K25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Math. Methods Appl. Sci. 35, No. 7, 812--827 (2012; Zbl 1248.34122) Full Text: DOI
Liu, Meng; Wang, Ke Asymptotic properties and simulations of a stochastic logistic model under regime switching. (English) Zbl 1235.60099 Math. Comput. Modelling 54, No. 9-10, 2139-2154 (2011). MSC: 60J28 92D40 34D05 34F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Math. Comput. Modelling 54, No. 9--10, 2139--2154 (2011; Zbl 1235.60099) Full Text: DOI
Liu, Meng; Wang, Ke; Wu, Qiong Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. (English) Zbl 1225.92059 Bull. Math. Biol. 73, No. 9, 1969-2012 (2011). MSC: 92D40 60H10 60H30 65C20 PDFBibTeX XMLCite \textit{M. Liu} et al., Bull. Math. Biol. 73, No. 9, 1969--2012 (2011; Zbl 1225.92059) Full Text: DOI
Liu, Meng; Wang, Ke Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. (English) Zbl 1221.34152 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1114-1121 (2011). MSC: 34D23 60H10 92D25 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1114--1121 (2011; Zbl 1221.34152) Full Text: DOI
Liu, Meng; Wang, Ke Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response. (English) Zbl 1219.92064 Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3792-3797 (2011). MSC: 92D40 34D23 65C20 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3792--3797 (2011; Zbl 1219.92064) Full Text: DOI
Liu, Meng; Wang, Ke; Liu, Xian-Wei Long term behaviors of stochastic single-species growth models in a polluted environment. (English) Zbl 1205.60086 Appl. Math. Modelling 35, No. 2, 752-762 (2011). MSC: 60G35 62P12 92D25 34D05 34F05 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Math. Modelling 35, No. 2, 752--762 (2011; Zbl 1205.60086) Full Text: DOI
Liu, Meng; Wang, Ke Persistence and extinction in stochastic non-autonomous logistic systems. (English) Zbl 1214.34045 J. Math. Anal. Appl. 375, No. 2, 443-457 (2011). Reviewer: Andrew Dale (Durban) MSC: 34F05 92D25 34D05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Math. Anal. Appl. 375, No. 2, 443--457 (2011; Zbl 1214.34045) Full Text: DOI
Liu, Meng; Wang, Ke Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment. (English) Zbl 1406.92673 J. Theor. Biol. 264, No. 3, 934-944 (2010). MSC: 92D40 92D25 60H10 34F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, J. Theor. Biol. 264, No. 3, 934--944 (2010; Zbl 1406.92673) Full Text: DOI
Liu, Meng; Wang, Ke Extinction and permanence in a stochastic non-autonomous population system. (English) Zbl 1206.34079 Appl. Math. Lett. 23, No. 12, 1464-1467 (2010). MSC: 34F05 34C60 34D05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{K. Wang}, Appl. Math. Lett. 23, No. 12, 1464--1467 (2010; Zbl 1206.34079) Full Text: DOI