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TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL

TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL
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摘要 This paper is concerned with traveling wave solutions to a nonlocal dispersal epide- mic model. Combining the upper and lower solutions and monotone iteration method, we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one. Furthermore, by the approximation method, the existence of traveling wave fronts for the critical speed is established as well. Finally, we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform. This paper is concerned with traveling wave solutions to a nonlocal dispersal epide- mic model. Combining the upper and lower solutions and monotone iteration method, we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one. Furthermore, by the approximation method, the existence of traveling wave fronts for the critical speed is established as well. Finally, we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.
作者 Feiying Yang Runlong Qiao Wantong Li
机构地区 School of Math.and Statistics
出处 《Annals of Differential Equations》 2014年第2期222-235,共14页 微分方程年刊（英文版）
基金 Supported by NNSF of China(11031003,11271172)
关键词 traveling waves nonlocal dispersal Laplace transform traveling waves nonlocal dispersal Laplace transform
分类号 O175 [理学—基础数学]
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参考文献30

  • 1V. Capasso, Asymptotic stability for an integro-differential reaction-diffusion system, J. Math. Anal. Appl., 103(1984),575-588.
  • 2V. Capasso, Mathematical structures of epidemic systems, Lecture Notes in Biomathematics, Vol.97, Springer-Verlag, Berlin, 1993.
  • 3V. Capasso, L. Maddalena, Convergence to equilibrium states for a reaction-diffusion sy- stem modeling the spatial spread of a class of bacterial and viral diseases, J. Math. Biol., 13(1981),173-184.
  • 4V. Capasso, L. Maddalena, Saddle point behavior for a reaction-diffusion system: application to a class of epidemic models, Math. Comput. Simulation, 24(1982),540-547.
  • 5V. Capasso, L. Maddalena, A nonlinear diffusion system modelling the spread of oro-faecal diseases, In: Nonlinear phenomena in mathematical sciences, (V. Lakshmikantham, ed.) New York: Academic Press, 1981.
  • 6V. Capasso, K. Kunisch, A reaction-diffusion system arising in modelling man-environment diseases, Quart. Appl. Math., 46(1988),431-450.
  • 7V. Capasso, S.L. Paveri-Fontana, A mathematical model for the 1973 cholera epidemic in the European Mediterranean region, Rev. Epidem. et Santé Publ., 27(1979),121-132.
  • 8J. Carr, A. Chmaj, Uniqueness of travelling waves for nonlocal monostable equations, Proc. Amer. Math. Soc., 132(2004),2433-2439.
  • 9J. Coville, J. Dávila, S. Martínez, Pulsating fronts for nonlocal dispersion and KPP nonlinea- rity, Ann. Inst. H. Poincard Anal. Non Linéaire, 30(2013),179-223.
  • 10W.T. Li, G. Lin, C. Ma, F.Y. Yang, Traveling waves of a nonlocal delayed SIR epidemic model without outbreak threshold, Discrete Contin. Dyn. Syst., 19B(2014),467-484.
Annals of Differential Equations
2014年 第2期

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