Geodesic
Optimal Screening in Structured SIR Epidemics
B. Ainseba1 ; M. Iannelli2
1 Bordeaux University, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Case 26, Université Bordeaux Ségalen, 3 Place de la Victoire, 33076 Bordeaux Cedex, France
2 Department of mathematics, University of Trento, 38050 Povo, Trento, Italy
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 3, pp. 12-27

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We present a model for describing the spread of an infectious disease with public screening measures to control the spread. We want to address the problem of determining an optimal screening strategy for a disease characterized by appreciable duration of the infectiveness period and by variability of the transmission risk. The specific disease we have in mind is the HIV infection. However the model will apply to a disease for which class-age structure is significant and should not be disregarded.
DOI : 10.1051/mmnp/20127302

B. Ainseba 1 ; M. Iannelli 2

1 Bordeaux University, Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Case 26, Université Bordeaux Ségalen, 3 Place de la Victoire, 33076 Bordeaux Cedex, France
2 Department of mathematics, University of Trento, 38050 Povo, Trento, Italy 
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B. Ainseba; M. Iannelli. Optimal Screening in Structured SIR Epidemics. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 3, pp. 12-27. doi: 10.1051/mmnp/20127302

[1] C. Almeder, G. Feichtinger, W. C. Sanderson, V. M. Veliov Central European J. Oper. Res. 2007 47 61

[2] S. Anita. Analysis and Control of Age-Dependent Population Dynamics, Kluwer, Boston, MA, 2000.

[3] S. Anita, M. Iannelli, M.Y. Kim, E.J. Park SIAM J. Appl. Math. 1999 1648 1666

[4] B. Armbruster, M. L. Brandeau Math. Biosci. 2007 386 402

[5] F. Ball, N. G. Becker Math. Biosci. 2006 170 187

[6] V. Barbu, M. Iannelli. Controlling the SIS Epidemics, Proceedings of the Conference on Mathematical Models in Medical and Health Sciences, Nashville, Tennessee, edited by M. A. Horn, G. Simonett, G. F. Webb, 1998.

[7] V. Barbu, M. Iannelli J. Optim. Theory Appl. 1999 1 14

[8] H. Behncke Optim. Control Appl. Meth. 2000 269 285

[9] K. W. Blayneh, A. B. Gumel, S. Lenhart, T. Clayton Bulletin of Mathematical Biology 2010 1006 1028

[10] C. Castillo-Chavez, Z. Feng Math. Biosci. 1998 135 154

[11] G. Feichtinger, V. M. Veliov, T. Tsachev Mathematical Population Studies 2004 3 28

[12] Z. Feng, H. R. Thieme Math. Biosci. 1995 93 130

[13] K. R. Fister, S. Lenhart J. Math. Anal. Appl. 2004 526 537

[14] K.P. Hadeler, J. Muller Math. Biosci. 2007 249 272

[15] E. Hansen, T. Day J. Math. Biol. 2011 423 451

[16] H. W. Hethcote, J. A. York. Gonorrhea Transmission and Control, Lectures Notes in Biomathematics 56, Springer Verlag 1984.

[17] H. W. Hethcote Math. Biosci. 1988 29 52

[18] H. W. Hethcote, P. Waltman Math. Biosci. 1973 365 381

[19] N. Hritonenko, Y. Yatsenko Math. Biosci. 2007 48 62

[20] J. M. Hyman, J. Li, E. A. Stanley Math. Biosci. 2003 17 54

[21] E. Jung, S. Lenhart, Z. Feng Discrete and Continuous Dynamical Systems 2002 473 482

[22] S. M. Kassa, A. Ouhinou Math. Biosci. 2011 41 49

[23] X. Liu, P. Stechlinski Nonlinear Analysis : RWA 2011 931 946

[24] F.A. Milner, R. Zhao Math. Model. Nat. Phenom. 2010 96 108

[25] R. Morton, K. H. Wickwire Adv. Appl. Prob. 1974 622 635

[26] A. Mubayi, C. Kribs Zaleta, M. Martcheva, C. Castillo-Chavez Math. Biosc. Eng. 2010 687 717

[27] J. Muller, M. Kretzschmar, K. Dietz Math. Biosci. 2000 39 64

[28] M. L. Ndeffo Mbah, C. A. Gilligan J. Theor. Biology 2010 757 763

[29] J. L. Sanders Biometrics 1971 883 893

[30] A. J. Terry Math. Biosc. Eng. 2010 455 477

[31] K. H. Wickwire J. Appl. Prob. 1975 565 568

[32] K. H. Wickwire Math. Biosci. 1975 325 346

[33] K. H. Wickwire Theor. Pop. Biol. 1977 182 238

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