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2007 Volume 4, Issue 2

Comparison between stochastic and deterministic selection-mutation models
Azmy S. Ackleh,  Shuhua Hu
2007, Volume 4, Issue 2: 133-157. doi: 10.3934/mbe.2007.4.133
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A final size relation for epidemic models
Julien Arino,  Fred Brauer,  P. van den Driessche,  James Watmough,  Jianhong Wu
2007, Volume 4, Issue 2: 159-175. doi: 10.3934/mbe.2007.4.159
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Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type
Juvencio Alberto Betancourt-Mar,  José Manuel Nieto-Villar
2007, Volume 4, Issue 2: 177-186. doi: 10.3934/mbe.2007.4.177
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems
Chichia Chiu,  Jui-Ling Yu
2007, Volume 4, Issue 2: 187-203. doi: 10.3934/mbe.2007.4.187
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Modeling diseases with latency and relapse
P. van den Driessche,  Lin Wang,  Xingfu Zou
2007, Volume 4, Issue 2: 205-219. doi: 10.3934/mbe.2007.4.205
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Evolutionary dynamics of prey-predator systems with Holling type II functional response
Jian Zu,  Wendi Wang,  Bo Zu
2007, Volume 4, Issue 2: 221-237. doi: 10.3934/mbe.2007.4.221
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A mathematical model for M-phase specific chemotherapy including the G0-phase and immunoresponse
Wenxiang Liu,  Thomas Hillen,  H. I. Freedman
2007, Volume 4, Issue 2: 239-259. doi: 10.3934/mbe.2007.4.239
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The role of delays in innate and adaptive immunity to intracellular bacterial infection
Simeone Marino,  Edoardo Beretta,  Denise E. Kirschner
2007, Volume 4, Issue 2: 261-286. doi: 10.3934/mbe.2007.4.261
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Subthreshold coexistence of strains: the impact of vaccination and mutation
Maia Martcheva,  Mimmo Iannelli,  Xue-Zhi Li
2007, Volume 4, Issue 2: 287-317. doi: 10.3934/mbe.2007.4.287
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On the stability of periodic solutions in the perturbed chemostat
Frédéric Mazenc,  Michael Malisoff,  Patrick D. Leenheer
2007, Volume 4, Issue 2: 319-338. doi: 10.3934/mbe.2007.4.319
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A finite element method for growth in biological development
Cornel M. Murea,  H. G. E. Hentschel
2007, Volume 4, Issue 2: 339-353. doi: 10.3934/mbe.2007.4.339
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Delay differential equations via the matrix lambert w function and bifurcation analysis: application to machine tool chatter
Sun Yi,  Patrick W. Nelson,  A. Galip Ulsoy
2007, Volume 4, Issue 2: 355-368. doi: 10.3934/mbe.2007.4.355
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Mathematical Biosciences and Engineering
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