Existence of traveling waves for integral recursions with nonmonotone growth functions

Journal of Mathematical Biology

Volumn 58, Issue 3, 2009, Pages 323-338

  Li, Bingtuan ^a   Lewis, Mark A ^b   Weinberger, Hans F ^c  

^a UNIVERSITY OF LOUISVILLE   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Integral recursion; Nonmonotone growth function; Spreading speed; Traveling waves

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; POPULATION DYNAMICS;

COMPUTER SIMULATION; MODELS, BIOLOGICAL; POPULATION DYNAMICS;

EID: 58149300044     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0175-1     Document Type: Article

References (9)

1. M. Anderson 1991 Properties of some density-dependent integrodifference equation population models Math. Biosci. 104 135 157
2. Courant R., Hilbert D.: Methods of Mathematical Physics II. Interscience, New York (1962)
3. O. Diekmann 1978 Thresholds and travelling waves for the geographical spread of an infection J. Math. Biol. 6 109 130
4. M. Kot 1992 Discrete-time travelling waves: ecological examples J. Math. Biol. 30 413 436
5. H.R. Thieme 1979 Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for spread of populations J. Reine Angew. Math. 306 94 121
6. H.R. Thieme 1979 Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread J. Math. Biol. 8 173 187
7. H.R. Thieme X.Q. Zhao 2003 Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models J. Diff. Equ. 195 430 470
8. Weinberger, H.F.: Asymptotic behavior of a model in population genetics. In: Chadam, J.M. (ed.) Nonlinear Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol. 648, pp. 47-96. Springer, Berlin (1978)
9. H.F. Weinberger 1982 Long-time behavior of a class of biological models SIAM J. Math. Anal. 13 353 396