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Volumn 365, Issue 2, 2010, Pages 729-741

Existence and uniqueness of traveling waves for non-monotone integral equations with application

Author keywords

Existence; Non monotone integral equations; Schauder's fixed point theorem; Traveling waves; Uniqueness

Indexed keywords


EID: 74849085114     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.11.028     Document Type: Article
Times cited : (26)

References (23)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • Aronson D.G., and Weinberger H.F. Multidimensional nonlinear diffusion arising in population genetics. Adv. Math. 30 (1978) 33-76
    • (1978) Adv. Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 0019807845 scopus 로고
    • Convergence to equilibrium states for a reaction-diffusion system modeling the spatial spread of a class of bacterial and viral diseases
    • Capasso V., and Maddalena L. Convergence to equilibrium states for a reaction-diffusion system modeling the spatial spread of a class of bacterial and viral diseases. J. Math. Biol. 13 (1981) 173-184
    • (1981) J. Math. Biol. , vol.13 , pp. 173-184
    • Capasso, V.1    Maddalena, L.2
  • 3
    • 0037144960 scopus 로고    scopus 로고
    • Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
    • Chen X., and Guo J.-S. Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations. J. Differential Equations 184 (2002) 549-569
    • (2002) J. Differential Equations , vol.184 , pp. 549-569
    • Chen, X.1    Guo, J.-S.2
  • 4
    • 0018184969 scopus 로고
    • Thresholds and traveling waves for the geographical spread of infection
    • Diekmann O. Thresholds and traveling waves for the geographical spread of infection. J. Math. Biol. 6 (1978) 109-130
    • (1978) J. Math. Biol. , vol.6 , pp. 109-130
    • Diekmann, O.1
  • 5
    • 0000360728 scopus 로고
    • On the bounded solutions of a nonlinear convolution equation
    • Diekmann O., and Kaper H.G. On the bounded solutions of a nonlinear convolution equation. Nonlinear Anal. 2 (1978) 721-737
    • (1978) Nonlinear Anal. , vol.2 , pp. 721-737
    • Diekmann, O.1    Kaper, H.G.2
  • 6
    • 0001944424 scopus 로고
    • Run for your life, a note on the asymptotic speed of propagation of an epidemic
    • Diekmann O. Run for your life, a note on the asymptotic speed of propagation of an epidemic. J. Differential Equations 33 (1979) 58-73
    • (1979) J. Differential Equations , vol.33 , pp. 58-73
    • Diekmann, O.1
  • 7
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • Fisher R.A. The wave of advance of advantageous genes. Ann. of Eugenics 7 (1937) 335-369
    • (1937) Ann. of Eugenics , vol.7 , pp. 335-369
    • Fisher, R.A.1
  • 8
    • 63849210492 scopus 로고    scopus 로고
    • Spreading speeds and traveling waves for nonmonotone integrodifference equations
    • Hsu S.B., and Zhao X.Q. Spreading speeds and traveling waves for nonmonotone integrodifference equations. SIAM J. Math. Anal. 40 (2008) 776-789
    • (2008) SIAM J. Math. Anal. , vol.40 , pp. 776-789
    • Hsu, S.B.1    Zhao, X.Q.2
  • 9
    • 0002722044 scopus 로고
    • Etude de lequation de la diffusion avec croissance de la quantite de matiere et son application a un problem biologique
    • Kolmogorov A.N., Petrowsky I.G., and Piscounov N.S. Etude de lequation de la diffusion avec croissance de la quantite de matiere et son application a un problem biologique. Bull. Univ. d'Etat Moscou Ser. Internat. A 1 (1937) 1-26
    • (1937) Bull. Univ. d'Etat Moscou Ser. Internat. A , vol.1 , pp. 1-26
    • Kolmogorov, A.N.1    Petrowsky, I.G.2    Piscounov, N.S.3
  • 10
    • 58149300044 scopus 로고    scopus 로고
    • Existence of traveling waves for integral recursions with nonmonotone growth functions
    • Li B.T., Lewis M.A., and Weinberger H.F. Existence of traveling waves for integral recursions with nonmonotone growth functions. J. Math. Biol. 58 (2009) 323-338
    • (2009) J. Math. Biol. , vol.58 , pp. 323-338
    • Li, B.T.1    Lewis, M.A.2    Weinberger, H.F.3
  • 11
    • 24644479145 scopus 로고    scopus 로고
    • Existence, uniqueness and stability of travelling waves in a discrete reaction-diffusion monostable equation with delay
    • Ma S.W., and Zou X. Existence, uniqueness and stability of travelling waves in a discrete reaction-diffusion monostable equation with delay. J. Differential Equations 217 (2005) 54-87
    • (2005) J. Differential Equations , vol.217 , pp. 54-87
    • Ma, S.W.1    Zou, X.2
  • 12
    • 34247862261 scopus 로고    scopus 로고
    • Traveling waves for nonlocal delayed diffusion equations via auxiliary equations
    • Ma S.W. Traveling waves for nonlocal delayed diffusion equations via auxiliary equations. J. Differential Equations 237 (2007) 259-277
    • (2007) J. Differential Equations , vol.237 , pp. 259-277
    • Ma, S.W.1
  • 13
    • 0008260279 scopus 로고
    • Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations
    • Thieme H.R. Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations. J. Reine Angew. Math. 306 (1979) 94-121
    • (1979) J. Reine Angew. Math. , vol.306 , pp. 94-121
    • Thieme, H.R.1
  • 15
    • 0345116416 scopus 로고    scopus 로고
    • Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models
    • Thieme H.R., and Zhao X.Q. Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models. J. Differential Equations 195 (2003) 430-470
    • (2003) J. Differential Equations , vol.195 , pp. 430-470
    • Thieme, H.R.1    Zhao, X.Q.2
  • 16
    • 67349212966 scopus 로고    scopus 로고
    • On the existence of traveling waves for delayed reaction-diffusion equations
    • Wang H.Y. On the existence of traveling waves for delayed reaction-diffusion equations. J. Differential Equations 247 (2009) 887-905
    • (2009) J. Differential Equations , vol.247 , pp. 887-905
    • Wang, H.Y.1
  • 17
    • 64049085555 scopus 로고    scopus 로고
    • Oscillatory waves in reaction-diffusion equations with nonlocal delay and crossing-monostability
    • Wu S.L., Li W.T., and Liu S.Y. Oscillatory waves in reaction-diffusion equations with nonlocal delay and crossing-monostability. Nonlinear Anal. Real World Appl. 10 (2009) 3141-3151
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , pp. 3141-3151
    • Wu, S.L.1    Li, W.T.2    Liu, S.Y.3
  • 18
    • 60249090086 scopus 로고    scopus 로고
    • Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay
    • Wu S.L., and Liu S.Y. Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay. Appl. Math. Model. 33 (2009) 2757-2765
    • (2009) Appl. Math. Model. , vol.33 , pp. 2757-2765
    • Wu, S.L.1    Liu, S.Y.2
  • 19
    • 67349277997 scopus 로고    scopus 로고
    • Uniqueness of non-monotone traveling waves for delayed reaction-diffusion equations
    • Wu S.L., and Liu S.Y. Uniqueness of non-monotone traveling waves for delayed reaction-diffusion equations. Appl. Math. Lett. 22 (2009) 1056-1061
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1056-1061
    • Wu, S.L.1    Liu, S.Y.2
  • 20
    • 34547134261 scopus 로고    scopus 로고
    • Global analysis of an epidemic model with nonmonotone incidence rate
    • Xiao D.M., and Ruan S. Global analysis of an epidemic model with nonmonotone incidence rate. Math. Biosci. 208 (2007) 419-429
    • (2007) Math. Biosci. , vol.208 , pp. 419-429
    • Xiao, D.M.1    Ruan, S.2
  • 21
    • 28444495448 scopus 로고    scopus 로고
    • Asymptotic speed of spread and traveling waves for a nonlocal epidemic model
    • Xu D.S., and Zhao X.Q. Asymptotic speed of spread and traveling waves for a nonlocal epidemic model. Discrete Contin. Dyn. Syst. Ser. B 5 (2005) 1043-1056
    • (2005) Discrete Contin. Dyn. Syst. Ser. B , vol.5 , pp. 1043-1056
    • Xu, D.S.1    Zhao, X.Q.2
  • 22
    • 74849118943 scopus 로고    scopus 로고
    • Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage
    • in press
    • P.A. Zhang, W.T. Li, Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage, Nonlinear Anal., in press
    • Nonlinear Anal
    • Zhang, P.A.1    Li, W.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.