Spatio-Temporal SIR Model with Robin Boundary Condition and Automatic Lockdown Policy. [PDF]
Int J Appl Comput Math, 2023 Elamraoui O, Essoufi EH, Zafrar A.
europepmc +1 more source
High frequency dispersive estimates in dimension two [PDF]
arXiv, 2007 We prove dispersive estimates at high frequency in dimension two for both the wave and the Schrodinger groupes for a very large class of real-valued potentials.
arxiv
A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the epidemiological event. [PDF]
J Comput Appl Math, 2023 Bilgil H +4 more
europepmc +1 more source
Asymptotic behavior for dissipative Korteweg-de Vrie equations [PDF]
arXiv, 2008 We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{xxx}+|D|^{\alpha}u+uu_x=0$ with $0<\alpha<2$. We find $v$ such that $u-v$ decays like $t^{-r(\alpha)}$ as $t\to\infty$ in various Sobolev norm.
arxiv
The role of A[Formula: see text] and Tau proteins in Alzheimer's disease: a mathematical model on graphs. [PDF]
J Math Biol, 2023 Bertsch M, Franchi B, Tesi MC, Tora V.
europepmc +1 more source
Long-time Asymptotics for the NLS equation via dbar methods [PDF]
arXiv, 2008 We present a new method for obtaining sharp asymptotics of solutions of the defocussing nonlinear Schr\"odinger (NLS) equation, based on dbar methods and under essentially minimal regularity assumptions on initial data.
arxiv
Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction-Diffusion Model. [PDF]
Qual Theory Dyn Syst, 2023 Zhi S, Niu HT, Su YH, Han X.
europepmc +1 more source
Dynamics of vortices for the Complex Ginzburg-Landau equation [PDF]
arXiv, 2008 We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
arxiv
Qualitative analysis of a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity. [PDF]
Infect Dis Model, 2023 Wang J, Teng Z, Dai B.
europepmc +1 more source
The theory of disconjugacy for a second order linear differential equation [PDF]
arXiv, 2008 This is an introduction to the theory of disconjugacy for a second order linear differential equation. We give new proofs of some of basic results and obtain new sufficient conditions for disconjugacy (in particular, on the whole real axis).
arxiv