Results 21 to 30 of about 104 (86)
Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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Advances in Nonlinear AnalysisThis study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
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Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
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Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics
European Journal of Applied MathematicsContemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements.
Maryam Ahmadpoortorkamani +1 more
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Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation
European Journal of Applied MathematicsThis paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
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Coupled Versus Uncoupled Blow-Up Rates in Cooperative n-Species Logistic Systems
Advanced Nonlinear Studies, 2017 This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN{\mathbb{R}^{N}} of class 𝒞2+ν{\mathcal{C}^{2+\nu ...
López-Gómez Julián, Maire Luis
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Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration
European Journal of Applied MathematicsConventional preytaxis systems assume that prey-tactic velocity is proportional to the prey density gradient. However, many experiments exploring the predator–prey interactions show that it is the predator’s acceleration instead of velocity that is ...
Chunlai Mu, Weirun Tao, Zhi-An Wang
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Advanced Nonlinear Studies, 2019 This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, dℒu=uh(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬu=0{\mathcal{B}u=0} on ∂Ω{\partial\Omega}.
Fernández-Rincón Sergio +1 more
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European Journal of Applied MathematicsIn a smoothly bounded domain $\Omega \subset \mathbb{R}^n$ , $n\ge 1$ , this manuscript considers the homogeneous Neumann boundary problem for the chemotaxis system \begin{eqnarray*} \left \{ \begin{array}{l} u_t = \Delta u - \nabla \cdot (
Youshan Tao, Michael Winkler
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European Journal of Applied MathematicsThe Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke +3 more
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