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Mathematical Modelling of Natural Phenomena

Vol. 3, No. 7 (2008)

Special issue dedicated to Glenn Webb



Glenn F.Webb: A Career in Mathematics     p. 1
W. E. Fitzgibbon
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008038
Abstract | PDF (151.1 KB)

Global Existence and Boundedness of Solutions to a Model of Chemotaxis     p. 17
J. Dyson, R. Villella-Bressan and G. F. Webb
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008039
Abstract | PDF (238.8 KB)

The Second Half-With a Quarter of a Century Delay     p. 36
O. Diekmann and M. Gyllenberg
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008040
Abstract | PDF (166.7 KB)

An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development     p. 49
Ph. Laurençot and Ch. Walker
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008041
Abstract | PDF (256.0 KB)

Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells     p. 78
O. U. Kirnasovsky, Y. Kogan and Z. Agur
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008042
Abstract | PDF (169.4 KB)

Reaction-Difusion Model of Early Carcinogenesis: The Effects of Influx of Mutated Cells     p. 90
Anna Marciniak-Czochra and Marek Kimmel
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008043
Abstract | PDF (424.7 KB)

Homogeneous Systems with a Quiescent Phase     p. 115
K.P. Hadeler
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008044
Abstract | PDF (153.6 KB)

Global Asymptotic Stability of Equilibria in Models for Virus Dynamics     p. 126
J. Prüss, R. Zacher and R. Schnaubelt
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008045
Abstract | PDF (219.4 KB)

Wentzell Boundary Conditions in the Nonsymmetric Case     p. 143
A. Favini, G. R. Goldstein, J. A. Goldstein and S. Romanelli
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008046
Abstract | PDF (145.5 KB)

Hypercyclicity of Semigroups is a Very Unstable Property     p. 148
W. Desch and W. Schappacher
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008047
Abstract | PDF (191.3 KB)

Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies     p. 161
R. Liu, V. R. S. K. Duvvuri and J. Wu
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008048
Abstract | PDF (575.8 KB)

Analysis of a Model with Multiple Infectious Stages and Arbitrarily Distributed Stage Durations     p. 180
Y. Yang, D. Xu and Z. Feng
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008049
Abstract | PDF (165.4 KB)

The Basic Reproduction Number of an Infectious Disease in a Stable Population: The Impact of Population Growth Rate on the Eradication Threshold     p. 194
H. Inaba and H. Nishiura
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008050
Abstract | PDF (359.3 KB)

The Effects of HIV-1 Infection on Latent Tuberculosis     p. 229
Amy L. Bauer, Ian B. Hogue, Simeone Marino and Denise E. Kirschner
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008051
Abstract | PDF (1.228 MB)

An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective     p. 267
H. R. Thieme, A. Tridane and Y. Kuang
Published online: 23 October 2008
DOI: 10.1051/mmnp:2008052
Abstract | PDF (368.2 KB)