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Discrete & Continuous Dynamical Systems - S

October 2017 , Volume 10 , Issue 5

Issue on recent advances of differential equations with applications in life sciences

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Preface for special session entitled "Recent Advances of Differential Equations with Applications in Life Sciences"
Ping Liu, Ying Su and Fengqi Yi
2017, 10(5): i-i doi: 10.3934/dcdss.201705i +[Abstract](890) +[HTML](30) +[PDF](87.9KB)
Stability analysis of a model on varying domain with the Robin boundary condition
Xiaofei Cao and Guowei Dai
2017, 10(5): 935-942 doi: 10.3934/dcdss.2017048 +[Abstract](977) +[HTML](23) +[PDF](312.2KB)
Mathematical modeling about nonlinear delayed hydraulic cylinder system and its analysis on dynamical behaviors
Yuting Ding, Jinli Xu, Jun Cao and Dongyan Zhang
2017, 10(5): 943-958 doi: 10.3934/dcdss.2017049 +[Abstract](931) +[HTML](26) +[PDF](496.7KB)
Existence of periodic solutions of dynamic equations on time scales by averaging
Ruichao Guo, Yong Li, Jiamin Xing and Xue Yang
2017, 10(5): 959-971 doi: 10.3934/dcdss.2017050 +[Abstract](1095) +[HTML](24) +[PDF](366.3KB)
Global Hopf bifurcation of a population model with stage structure and strong Allee effect
Pengmiao Hao, Xuechen Wang and Junjie Wei
2017, 10(5): 973-993 doi: 10.3934/dcdss.2017051 +[Abstract](1554) +[HTML](33) +[PDF](399.2KB)
A Perron-type theorem for nonautonomous differential equations with different growth rates
Yongxin Jiang, Can Zhang and Zhaosheng Feng
2017, 10(5): 995-1008 doi: 10.3934/dcdss.2017052 +[Abstract](1112) +[HTML](19) +[PDF](381.2KB)
Steady states of a Sel'kov-Schnakenberg reaction-diffusion system
Bo Li and Xiaoyan Zhang
2017, 10(5): 1009-1023 doi: 10.3934/dcdss.2017053 +[Abstract](1131) +[HTML](28) +[PDF](408.2KB)
Pattern dynamics of a delayed eco-epidemiological model with disease in the predator
Jing Li, Zhen Jin, Gui-Quan Sun and Li-Peng Song
2017, 10(5): 1025-1042 doi: 10.3934/dcdss.2017054 +[Abstract](1453) +[HTML](20) +[PDF](1008.7KB)
A kind of generalized transversality theorem for $C^r$ mapping with parameter
Qiang Li
2017, 10(5): 1043-1050 doi: 10.3934/dcdss.2017055 +[Abstract](816) +[HTML](17) +[PDF](165.5KB)
Pattern formation of a coupled two-cell Schnakenberg model
Guanqi Liu and Yuwen Wang
2017, 10(5): 1051-1062 doi: 10.3934/dcdss.2017056 +[Abstract](950) +[HTML](19) +[PDF](416.7KB)
Traveling wave solutions of a reaction-diffusion predator-prey model
Jiang Liu, Xiaohui Shang and Zengji Du
2017, 10(5): 1063-1078 doi: 10.3934/dcdss.2017057 +[Abstract](1175) +[HTML](33) +[PDF](441.0KB)
Dynamical behavior of a new oncolytic virotherapy model based on gene variation
Zizi Wang, Zhiming Guo and Huaqin Peng
2017, 10(5): 1079-1093 doi: 10.3934/dcdss.2017058 +[Abstract](809) +[HTML](25) +[PDF](532.9KB)
On concentration of semi-classical solitary waves for a generalized Kadomtsev-Petviashvili equation
Yuanhong Wei, Yong Li and Xue Yang
2017, 10(5): 1095-1106 doi: 10.3934/dcdss.2017059 +[Abstract](923) +[HTML](28) +[PDF](420.9KB)
Invasion traveling wave solutions in temporally discrete random-diffusion systems with delays
Hui Xue, Jianhua Huang and Zhixian Yu
2017, 10(5): 1107-1131 doi: 10.3934/dcdss.2017060 +[Abstract](765) +[HTML](19) +[PDF](537.3KB)
Lyapunov-type inequalities and solvability of second-order ODEs across multi-resonance
He Zhang, Xue Yang and Yong Li
2017, 10(5): 1133-1148 doi: 10.3934/dcdss.2017061 +[Abstract](971) +[HTML](32) +[PDF](511.3KB)
Dynamics and spatiotemporal pattern formations of a homogeneous reaction-diffusion Thomas model
Hongyan Zhang, Siyu Liu and Yue Zhang
2017, 10(5): 1149-1164 doi: 10.3934/dcdss.2017062 +[Abstract](873) +[HTML](23) +[PDF](402.3KB)
Stability and bifurcation analysis in a chemotaxis bistable growth system
Shubo Zhao, Ping Liu and Mingchao Jiang
2017, 10(5): 1165-1174 doi: 10.3934/dcdss.2017063 +[Abstract](976) +[HTML](27) +[PDF](396.2KB)
Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term
Jun Zhou
2017, 10(5): 1175-1185 doi: 10.3934/dcdss.2017064 +[Abstract](1069) +[HTML](22) +[PDF](364.4KB)
Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting
Changrong Zhu and Lei Kong
2017, 10(5): 1187-1206 doi: 10.3934/dcdss.2017065 +[Abstract](1096) +[HTML](25) +[PDF](1575.2KB)

2017  Impact Factor: 0.561

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