Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling. (English) Zbl 1435.34056 Nonlinear Anal., Hybrid Syst. 34, 209-225 (2019). MSC: 34C60 92D40 37C60 34F05 34C25 34D05 PDFBibTeX XMLCite \textit{X. Yu} et al., Nonlinear Anal., Hybrid Syst. 34, 209--225 (2019; Zbl 1435.34056) Full Text: DOI
Qi, Haokun; Leng, Xiaona; Meng, Xinzhu; Zhang, Tonghua Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients. (English) Zbl 1426.34063 Qual. Theory Dyn. Syst. 18, No. 2, 347-369 (2019). MSC: 34C60 34E10 92D30 34F05 34C25 34D20 34D05 PDFBibTeX XMLCite \textit{H. Qi} et al., Qual. Theory Dyn. Syst. 18, No. 2, 347--369 (2019; Zbl 1426.34063) Full Text: DOI
Song, Keying; Zhang, Tonghua; Ma, Wanbiao Nontrivial periodic solution of a stochastic non-autonomous model with biodegradation of microcystins. (English) Zbl 1411.92128 Appl. Math. Lett. 94, 87-93 (2019). MSC: 92C45 34C25 PDFBibTeX XMLCite \textit{K. Song} et al., Appl. Math. Lett. 94, 87--93 (2019; Zbl 1411.92128) Full Text: DOI
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. (English) Zbl 1390.92129 Nonlinear Dyn. 91, No. 3, 1653-1668 (2018). MSC: 92D25 37N25 37A25 PDFBibTeX XMLCite \textit{X. Yu} et al., Nonlinear Dyn. 91, No. 3, 1653--1668 (2018; Zbl 1390.92129) Full Text: DOI
Zhao, Yu; Yuan, Sanling; Zhang, Tonghua Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation. (English) Zbl 1465.92143 Commun. Nonlinear Sci. Numer. Simul. 44, 266-276 (2017). MSC: 92D40 34C25 34F05 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Commun. Nonlinear Sci. Numer. Simul. 44, 266--276 (2017; Zbl 1465.92143) Full Text: DOI
Zhang, Tonghua; Li, Jibin Exact torus knot periodic orbits and homoclinic orbits in a class of three-dimensional flows generated by a planar cubic systems. (English) Zbl 1382.37024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750205, 12 p. (2017). MSC: 37C29 34C25 34C37 37C10 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750205, 12 p. (2017; Zbl 1382.37024) Full Text: DOI
Li, Chengxian; Liu, Haihong; Zhang, Tonghua; Yan, Fang Hopf bifurcation analysis of a gene regulatory network mediated by small noncoding RNA with time delays and diffusion. (English) Zbl 1378.92018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750194, 22 p. (2017). MSC: 92C40 92C42 35B32 35K57 PDFBibTeX XMLCite \textit{C. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750194, 22 p. (2017; Zbl 1378.92018) Full Text: DOI
Li, Jibin; Zhang, Tonghua Bifurcations and exact solutions of the equation of barotropic FRW cosmologies. (English) Zbl 1367.34059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750080, 27 p. (2017). MSC: 34C60 34C05 34C37 34C23 83F05 PDFBibTeX XMLCite \textit{J. Li} and \textit{T. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750080, 27 p. (2017; Zbl 1367.34059) Full Text: DOI
Chen, Zhenzhen; Zhang, Tonghua; Tadé, Moses O.; Brooks, Geoffrey Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms. (English) Zbl 1361.34050 J. Appl. Math. Comput. 53, No. 1-2, 471-486 (2017). MSC: 34C60 34C23 92D25 34A34 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Appl. Math. Comput. 53, No. 1--2, 471--486 (2017; Zbl 1361.34050) Full Text: DOI
Tang, Xiaosong; Song, Yongli; Zhang, Tonghua Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion. (English) Zbl 1349.37091 Nonlinear Dyn. 86, No. 1, 73-89 (2016). MSC: 37N25 34C25 92D25 37G10 34C23 PDFBibTeX XMLCite \textit{X. Tang} et al., Nonlinear Dyn. 86, No. 1, 73--89 (2016; Zbl 1349.37091) Full Text: DOI
Zhang, Tongqian; Zhang, Jian; Meng, Xinzhu; Zhang, Tonghua Geometric analysis of a pest management model with Holling’s type III functional response and nonlinear state feedback control. (English) Zbl 1354.93066 Nonlinear Dyn. 84, No. 3, 1529-1539 (2016). MSC: 93B52 93C10 37N25 92D30 PDFBibTeX XMLCite \textit{T. Zhang} et al., Nonlinear Dyn. 84, No. 3, 1529--1539 (2016; Zbl 1354.93066) Full Text: DOI
Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu; Zhang, Tonghua Periodic solution of a prey-predator model with nonlinear state feedback control. (English) Zbl 1410.34243 Appl. Math. Comput. 266, 95-107 (2015). MSC: 34K45 34A37 92D25 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math. Comput. 266, 95--107 (2015; Zbl 1410.34243) Full Text: DOI
Jiang, Heping; Zhang, Tonghua; Song, Yongli Delay-induced double Hopf bifurcations in a system of two delay-coupled van der Pol-Duffing oscillators. (English) Zbl 1314.34143 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550058, 18 p. (2015). MSC: 34K18 34K13 34K20 34K14 34K17 PDFBibTeX XMLCite \textit{H. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 4, Article ID 1550058, 18 p. (2015; Zbl 1314.34143) Full Text: DOI
Zhang, Tongqian; Meng, Xinzhu; Liu, Rui; Zhang, Tonghua Periodic solution of a pest management Gompertz model with impulsive state feedback control. (English) Zbl 1331.92155 Nonlinear Dyn. 78, No. 2, 921-938 (2014). MSC: 92D30 92C80 93B52 93C15 34C11 34C60 PDFBibTeX XMLCite \textit{T. Zhang} et al., Nonlinear Dyn. 78, No. 2, 921--938 (2014; Zbl 1331.92155) Full Text: DOI
Yuan, Sanling; Zhang, Tonghua Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling. (English) Zbl 1327.92052 Nonlinear Anal., Real World Appl. 13, No. 5, 2104-2119 (2012). MSC: 92D25 34K20 34K25 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{T. Zhang}, Nonlinear Anal., Real World Appl. 13, No. 5, 2104--2119 (2012; Zbl 1327.92052) Full Text: DOI
Yuan, Sanling; Zhao, Yu; Xiao, Anfeng; Zhang, Tonghua Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling. (English) Zbl 1256.34040 Rocky Mt. J. Math. 42, No. 4, 1387-1409 (2012). MSC: 34C60 34A37 34C23 34C28 34D20 34C25 92D40 PDFBibTeX XMLCite \textit{S. Yuan} et al., Rocky Mt. J. Math. 42, No. 4, 1387--1409 (2012; Zbl 1256.34040) Full Text: DOI Euclid