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=13654 Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: Coding and method for computation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13654 Georgy L. Alfimov, Pavel P. Kizin and Dmitry A. Zezyulin Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13655 Stability analysis of an enteropathogen population growing within a heterogeneous group of animals http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13655 Carles Barril and Àngel Calsina Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13656 Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13656 0,\\ v_{t}\ &=\Delta v-v+w,\ &x\in\Omega,& t>0,\\ w_{t}\ &=\Delta w-\chi_2\nabla\!\cdot(w\nabla z)+\mu_2 w(1-w-a_2u),\ &x\in\Omega,& t>0,\\ z_{t}\ &=\Delta z-z+u,\ &x\in\Omega,& t>0,\\ \end{array}\right. \end{align*} where $\Omega\subset\mathbb{R}^n$ is a bounded domain with smooth boundary. The system models Lotka-Volterra competition of two species coupled with an additional chemotactic influence. In this model each species is attracted by the signal produced by the other.
    We firstly show that if $n=2$ and the parameters in the system above are positive, the solution to the corresponding Neumann initial-boundary value problem, emanating from appropriately regular and nonnegative initial data, is global and bounded.
    Furthermore, we prove asymptotic stabilization of arbitrary global bounded solutions for any $n\geq2$, in the sense that:
    • If $a_1<1$, $a_2<1$ and both $\frac{\mu_1}{\chi_1^2}$ and $\frac{\mu_2}{\chi_2^2}$ are sufficiently large, then any global solution satisfying $u\not\equiv0\not\equiv w$ converges towards the unique positive spatially homogeneous equilibrium of the system given above.
    • If $a_1\geq 1$, $a_2<1$ and $\frac{\mu_2}{\chi_2^2}$ is sufficiently large any global solution satisfying $w\not\equiv0$ tends to $(0,1,1,0)$ as $t\to\infty$. ]]>
Tobias Black Thu, 1 Jun 2017 20:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13657 Global phase portrait of a degenerate Bogdanov-Takens system with symmetry http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13657 Hebai Chen, Xingwu Chen and Jianhua Xie Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13658 A continuum model for nematic alignment of self-propelled particles http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13658 Pierre Degond, Angelika Manhart and Hui Yu Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13659 A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13659 Salah Drabla, Salim A. Messaoudi and Fairouz Boulanouar Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13660 Competition in periodic media: I existence of pulsating fronts http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13660 Léo Girardin Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13661 Vanishing capillarity limit of the non-conservative compressible two-fluid model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13661 Jin Lai, Huanyao Wen and Lei Yao Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13662 Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13662 Shangzhi Li and Shangjiang Guo Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13663 Feedback controllability for blowup points of semilinear heat equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13663 Ping Lin Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13664 Saddle-node bifurcations of multiple homoclinic solutions in ODEs http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13664 Xiao-Biao Lin and Changrong Zhu Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13665 Global existence for a thin film equation with subcritical mass http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13665 Jian-Guo Liu and Jinhuan Wang Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13666 Optimal harvesting of a stochastic delay competitive model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13666 Meng Liu and Chuanzhi Bai Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13667 Morse indices and symmetry breaking for the Gelfand equation in expanding annuli http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13667 Linfeng Mei and Zongming Guo Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13668 An almost periodic malaria transmission model with time-delayed input of vector http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13668 1$, and it will die out when $R_{0}<1$ under the assumption that there exists a small invasion. Furthermore, the global stability of the disease-free almost periodic state is obtained provided that the disease-induced death rate is null. Finally, we illustrate the above results by numerical simulations and show that the periodic epidemic models may overestimate or underestimate the malaria risk. ]]> Lizhong Qiang and Bin-Guo Wang Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13669 Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13669 Alexander Rezounenko Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13670 Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13670 Leonid Shaikhet Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13671 Global dynamics of a coupled epidemic model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13671 Hongying Shu and Xiang-Sheng Wang Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13672 Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13672 Ji Shu Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13673 Stability of traveling waves for autocatalytic reaction systems with strong decay http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13673 1$. By applying Centre Manifold Theorem and detailed asymptotic analysis, we get the precise spatial decaying rate of the travelling waves with noncritical speeds. Further by applying spectral analysis, Evans function method and some numerical simulation, we proved the spectral stability and the linear exponential stability of the waves with noncritical speeds in some weighted spaces. ]]> Yaping Wu and Niannian Yan Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13675 Boundedness of solutions to a fully parabolic Keller-Segel system with nonlinear sensitivity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13675 Hao Yu, Wei Wang and Sining Zheng Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13676 Attractors for non-autonomous reaction-diffusion equations with fractional diffusion in locally uniform spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13676 Gaocheng Yue Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13677 On global boundedness of the Chen system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13677 Fuchen Zhang, Xiaofeng Liao, Chunlai Mu, Guangyun Zhang and Yi-An Chen Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13678 Random attractor for stochastic Boissonade system with time-dependent deterministic forces and white noises http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13678 Min Zhao and Shengfan Zhou Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13679 Traveling waves for a nonlocal dispersal SIR model with general nonlinear incidence rate and spatio-temporal delay http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13679 Jinling Zhou and Yu Yang Thu, 1 Jun 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13680 Instantaneous shrinking and extinction for a non-Newtonian polytropic filtration equation with orientated convection http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13680 0, $$ where $p>1, m,q>0, N\ge1$ and $\overrightarrow{\beta}(x)$ is a vector field defined on $\mathbb{R}^{N}$. Here, the orientation of the convection is specified to that with counteracting diffusion, that is $\overrightarrow{\beta}(x)\cdot(-x)\ge0$, $x\in\mathbb{R}^N$. Sufficient conditions are established for the instantaneous shrinking property of solutions with decayed initial datum of supports. For a certain class of initial datum, it is shown that there exists a critical time $\tau^*>0$ such that the supports of solutions are unbounded above for any $t<\tau^*$, whilst the opposite is the case for any $t>\tau^*$. In addition, we prove that once the supports of solutions shrink instantaneously, the solutions will vanish in finite time. ]]> Hailong Ye and Jingxue Yin Thu, 1 Jun 2017 20:00:00 GMT