An extension of the formula for spreading speeds

Mathematical Biosciences and Engineering

Volumn 7, Issue 1, 2010, Pages 187-194

  Weinberger, Hans F ^a   Zhao, Xiao Qiang ^b  

^a University of Minnesota   (United States)

^b MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Discrete time recursions; Integrodifference equations; Linear determinacy; Spreading speeds

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; MIGRATION;

EMIGRATION AND IMMIGRATION; MODELS, BIOLOGICAL;

EID: 77954632899     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2010.7.187     Document Type: Article

References (9)

1. D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusion arising in population genetics, Advances in Math., 30 (1978), 33-76.
2. O. Diekmann, Thresholds and travelling waves for the geographical spread of infection, J. Math. Biol., 6 (1978), 109-130.
3. O. Diekmann, Run for your life, a note on the asymptotic speed of propagation of an epidemic, J. Diff. Eqns., 33 (1979), 58-73.
4. S.-B. Hsu and X.-Q. Zhao, Spreading speeds and traveling waves for non-monotone integrodifference equations, SIAM J. Math. Anal., 40 (2008), 776-789.
5. X. Liang and X.-Q. Zhao, Asymptotic speeds of spread and traveling waves for monotone semiflows with applications, Communications on Pure and Appl. Math., 60 (2007), 1-40.
6. H. R. Thieme, 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.
7. H. F. Weinberger, Asymptotic behavior of a model in population genetics, Nonlinear Partial Differential Equations and Applications, (Proc. Special Sem., Indiana Univ., Bloomington, Ind., 1976-1977), 47-96, Lecture Notes in Math., Vol.648, Springer, Berlin, 1978.
8. H. F. Weinberger, Long-time behavior of a class of biological models, SIAM J. Math. Anal., 13 (1982), 353-396.
9. X.-Q. Zhao, Spatial dynamics of some evolution systems in biology, in "Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions," Y. Du, H. Ishii and W.-Y. Lin, eds., 332-363, World Scientific, 2009.