The spreading speed of an SIR epidemic model with nonlocal dispersal

• 資料種別: 記事
• タイトル: The spreading speed of an SIR epidemic model with nonlocal dispersal
• 著者標目: Jong-Shenq Guo; Amy Ai Ling Poh; Masahiko Shimojo
• 出版年月日等: 2020-10-06
• 出版年（W3CDTF）: 2020-10-06
• タイトル（掲載誌）: Asymptotic Analysis
• 巻号年月日等（掲載誌）: 120 1-2
• 掲載巻: 120
• 掲載号: 1-2
• 掲載ページ: 163-174
• 掲載年月日（W3CDTF）: 2020-10-06
• ISSN（掲載誌）: 09217134
• 出版事項（掲載誌）: IOS Press
• 件名標目: General Mathematics
• 対象利用者: 一般
• DOI: 10.3233/asy-191584
• 作成日（W3CDTF）: 2019-10-23
• オンライン閲覧公開範囲: インターネット公開
• 関連情報（URI）: https://content.iospress.com/download?id=10.3233/ASY-191584
• 参照: Spatial dynamics of a periodic population model with dispersal^*; https://cir.nii.ac.jp/crid/1360011143653421568; Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model; https://cir.nii.ac.jp/crid/1360011146309846144; The Mathematics of Infectious Diseases; https://cir.nii.ac.jp/crid/1360011146609987328; Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity; https://cir.nii.ac.jp/crid/1360574096391530752; The non-local Fisher–KPP equation: travelling waves and steady states; https://cir.nii.ac.jp/crid/1360855571300507520; The evolution of dispersal; https://cir.nii.ac.jp/crid/1360855571453821440; Rapid traveling waves in the nonlocal Fisher equation connect two unstable states; https://cir.nii.ac.jp/crid/1361137043690932096; Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation; https://cir.nii.ac.jp/crid/1361418518813184512; Monotone wavefronts of the nonlocal Fisher–KPP equation; https://cir.nii.ac.jp/crid/1361418520761670144; Asymptotic spreading in a Lotka–Volterra predator–prey system; https://cir.nii.ac.jp/crid/1361699995137670912; Non-Local dispersal and bistability; https://cir.nii.ac.jp/crid/1362262943562569984; Spectral Theory for Nonlocal Dispersal with Periodic or Almost-Periodic Time Dependence; https://cir.nii.ac.jp/crid/1362262944420821248; A contribution to the mathematical theory of epidemics; https://cir.nii.ac.jp/crid/1362262945237341952; A generalization of the Kermack-McKendrick deterministic epidemic model; https://cir.nii.ac.jp/crid/1362262945473709056; Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach; https://cir.nii.ac.jp/crid/1362262946455245824; Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment; https://cir.nii.ac.jp/crid/1362544419006471168; Spatial structures and generalized travelling waves for an integro-differential equation; https://cir.nii.ac.jp/crid/1362544420969806592; Nonlocal Diffusion Problems; https://cir.nii.ac.jp/crid/1362544420988293632; Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources; https://cir.nii.ac.jp/crid/1362825893561589632; Invasion speed of a predator–prey system; https://cir.nii.ac.jp/crid/1363107368757868544; A nonlocal convection–diffusion equation; https://cir.nii.ac.jp/crid/1363107369609091072; Pulsating fronts for nonlocal dispersion and KPP nonlinearity; https://cir.nii.ac.jp/crid/1363107369777360896; Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model; https://cir.nii.ac.jp/crid/1363107370289599232; Traveling waves of a delayed diffusive SIR epidemic model; https://cir.nii.ac.jp/crid/1363388843500301312; Global stability for an SIR epidemic model with delay and nonlinear incidence; https://cir.nii.ac.jp/crid/1363388844178702464; Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity; https://cir.nii.ac.jp/crid/1363951793368384384; Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats; https://cir.nii.ac.jp/crid/1363951794176199040; The Effect of Dispersal Patterns on Stream Populations; https://cir.nii.ac.jp/crid/1363951795302979200; Spreading disease: integro-differential equations old and new; https://cir.nii.ac.jp/crid/1364233269420870144; Asymptotic behavior for a system describing epidemics with migration and spatial spread of infection; https://cir.nii.ac.jp/crid/1364233270308595200; Spreading speeds of a Lotka–Volterra predator–prey system: The role of the predator; https://cir.nii.ac.jp/crid/1364233270432517632
• 連携機関・データベース: 国立情報学研究所 : CiNii Research
• 提供元機関・データベース: Crossref; https://www.crossref.org; 科学研究費助成事業データベース; https://kaken.nii.ac.jp/ja

• 要約等: <jats:p>In this paper, we study an SIR epidemic model with nonlocal dispersal. We study the case with vital dynamics so that a renewal of the suscepti...