Discrete and Continuous Dynamical Systems - Series B: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=2 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13841 Stabilization of difference equations with noisy proportional feedback control http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13841 0$, when the noise level $\ell$ is sufficiently small, all solutions eventually belong to the interval $(x^{\ast}-\varepsilon,x^{\ast}+\varepsilon)$. ]]> Elena Braverman and Alexandra Rodkina Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13842 An analysis of functional curability on HIV infection models with Michaelis-Menten-type immune response and its generalization http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13842 Jeng-Huei Chen Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13844 Synchronising and non-synchronising dynamics for a two-species aggregation model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13844 Casimir Emako-Kazianou, Jie Liao and Nicolas Vauchelet Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13845 Averaging principle for the Schrödinger equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13845 Peng Gao and Yong Li Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13847 Domain control of nonlinear networked systems and applications to complex disease networks http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13847 Suoqin Jin, Fang-Xiang Wu and Xiufen Zou Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13849 Stability and traveling wavefronts for a convolution model of mistletoes and birds with nonlocal diffusion http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13849 0$ is obtained such that traveling wavefronts exist for $c\geq c_{*}$. Amongst the construction, we take advantage of the relation between two components of principle eigenvector for the linearized system to control the two components of upper solution. The method seems novel. Some simulations and discussions are given to illustrate the applications of our main results and the effect of parameters on $c_{*}$. A comparison for $c_{*}$ is also given with two different kernel functions. ]]> Huimin Liang, Peixuan Weng and Yanling Tian Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13850 Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13850 0,\\ v_t=\Delta v-\chi_2\nabla\cdot( v\nabla w)+\mu_2v(1-a_2u-v),\quad &x\in\Omega,\quad t>0,\\ w_t=\Delta w- w+u+v,\quad &x\in\Omega,\quad t>0,\\ \end{array} \right. \end{eqnarray*} which describes the mutual competition between two populations on account of the Lotka-Volterra dynamics. For any cross-diffusivities $\chi_1>0$ and $\chi_2>0$ and the rates $a_1>0$ and $a_2>0$, it is proved that the global classical bounded solutions exist for sufficiently regular initial data when the parameters $\mu_1$ and $\mu_2$ are sufficiently large. In deriving the convergence of solutions to this system, we need to distinguish two cases $a_1,a_2\in[0,1)$ and $a_1>1$ and $0\leq a_2<1$ to prove globally asymptotic stability. ]]> Ke Lin and Chunlai Mu Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13851 Seasonal forcing and exponential threshold incidence in cholera dynamics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13851 Jinhuo Luo, Jin Wang and Hao Wang Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13852 Blow-up phenomena for nonlinear pseudo-parabolic equations with gradient term http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13852 Monica Marras, Stella Vernier-Piro and Giuseppe Viglialoro Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13853 Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13853 Masaaki Mizukami Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13855 Asymptotic behaviors of Green-Sch potentials at infinity and its applications http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13855 Lei Qiao Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13857 On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations: I http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13857 Yong Yang and Bingsheng Zhang Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13859 Oscillation theorems for impulsive parabolic differential system of neutral type http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13859 Min Zou, An-Ping Liu and Zhimin Zhang Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13887 Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13887 Hui Miao, Zhidong Teng and Chengjun Kang Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13888 Numerical solutions of viscoelastic bending wave equations with two term time kernels by Runge-Kutta convolution quadrature http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13888 Da Xu Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13889 Limit cycle bifurcations for piecewise smooth integrable differential systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13889 Jihua Yang and Liqin Zhao Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13890 Invariant measures for complex-valued dissipative dynamical systems and applications http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13890 Xin Li, Wenxian Shen and Chunyou Sun Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13891 Nonsmooth frameworks for an extended Budyko model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13891 Anna M. Barry, Esther Widiasih and Richard McGehee Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13892 Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13892 A. Ghose Choudhury and Partha Guha Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13893 Stationarity and periodicity of positive solutions to stochastic SEIR epidemic models with distributed delay http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13893 Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat and Ahmed Alsaedi Tue, 1 Aug 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13810 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13810 Yanling Shi, Junxiang Xu and Xindong Xu Tue, 1 Aug 2017 08:00:00 GMT