Publication List

Maia Martcheva

1. (with O. Prosper, N.  Ructanonchai) "Assessing the Role of Spatial Heterogeneity and Human Movement in Malaria Dynamics and Control", J. Teor. Biol. (to appear).

2. (with O. Prosper)  "Unstable Dynamics of Vector-Borne Diseases: Modeling Through Differential-Delay Equations", in  "Dynamic Models of Infectious Diseases: Vol 1. Vector Borne Diseases ( Sree Hari Rao Vadrevu, Ravi Durvasula eds.), Springer 2012 (in press).

3. "Avian Influenza: Modeling and Implications for Control," Math. Mod. Nat. Phenom. (to appear).

4. (with S. Debroy, B. Bolker) "Bistability and Long-Term Cure in a Within-Host  of Hepatitis C", J. Biol. Systems, Vol. 19 (4), 2011, p. 533-550.

5. (with N. Tuncer) "Analytical and Numerical Approaches to Coexistence of Strains in a Two-Strain SIS model with Diffusion", J. Biol. Dynamics (in press).

6. "An Immuno-Epidemiological Model of Paratuberculosis",  AIP Conference Proceedings, Vol. 1404,  2011, p. 176-183.

7. (with J.Y. Yang, X.Z.Li,)  "Global Stability of a DS-DI Epidemic Model with Age of Infection", J. Math. Anal. Appl., Vol. 385, 2012, p. 655-671..

8. "An Evolutionary Model of Influenza A with Drift and Shift", J. Biol. Dynamics (in press).

9.  (with X.Z. Li, S. Bhattacharya, J.Y. Yang) "A  Tuberculosis (TB) Model with Undetected Compartment: An Application  to China",  J. Biol. Systems, Vol. 19 (2), 2011, p. 205-236.

10. (with S. Bhattacharya) "Oscillations in a Size-Structured Prey-Predator Model",  Math. Biosci. Vol. 228, 2010, p. 31-44.

11. (with F. Hoppensteadt) "India's Approach to Elliminating Plasmodium falciparum Malaria: A Modeling Perspective",  J. Biol. Systems, Vol. 18 (4), 2010, p. 867-891.

12.  (with A. Mubayi,  C. Kribs-Zaleta, C. Castillo-Chavez)  "A Cost-Based Comparison of Quarantine Strategies for New Emerging Diseases",
Math. Biosci. Eng., Vol. 7 (3), 2010, p. 689-719.

13. (with X.Z. Li, J.X. Liu) "An Age-Structured Two-Strain Model with Super-Infection", Math. Biosci. Eng., Vol. 7 (1), 2010, p. 125-149.

14. (with M. Nuno, C. Castillo-Chavez) "Immune Level Approach for Multiple Strain Pathogens",  J. Biol. Systems, Vol 17 (4), 2009,  p. 713-737.

15. "Evolutionary Consequences of Predation for Pathogens in Prey", Bull. Math. Biol., Vol. 71 (4), 2009, p. 819-844.

16. "A Non-Autonomous Multi-Strain SIS Epidemic Model", J. Biol. Dynamics, Vol. 3 (2&3), 2009, p. 235-251.

17. (with J. Lucchetti, M. Roy) "An Avian Influenza Model and its Fit to Human Avian Influenza Cases", in "Advances in Disease Epidemiology" (J. M. Tchuenche, Z. Mukandavire, Eds.), Nova Science Publishers, New York, 2009, p. 1-30.

18. (with S. DebRoy) "Immuno-Epidemiology and HIV/AIDS: A Modeling Prospective", in Mathematical Biology Research Trends (Lachlan B. Wilson, Ed.), Nova Publishers, New York, 2008, p. 175-192.

19. (with D. Thomasey) "Serotype Replacement of Vertically Transmitted Diseases Through Perfect Vaccination",  J. Biol. Sys., Vol. 16 (2), 2008, p. 255-277.

20. (with M. Nuno, Z. Feng, C. Castillo-Chavez) "Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure", Lecture Notes in Mathematics, Vol. 1945, Mathematical Epidemiology (Fred Brauer, Pauline van den Driessche, Jianhong Wu, Eds.), Springer-Verlag, Berlin, 2008, p. 349-364.

21. (with H.R. Thieme) "Infinite ODE Systems Modeling Size-Structured Metapopulations, Macroparasitic Diseases, and Prion Proliferation", Lecture Notes in Mathematics, Vol. 1936,  Structured Population Models in Biology and Epidemiology (Pierre Magal and Shigui Ruan, Eds.), Springer, New York, 2008, p. 51-113.

22. (with H.-M. Wei, X.-Z. Li) "An Epidemic Model of a Vector-Borne Disease with Direct Transmission and Time Delay", J. Math. Anal. Appl., Vol 342 (2), 2008, p. 895-908.

23. (with B.M. Bolker, R.D. Holt) "Vaccine-Induced Pathogen Strain Replacement: What are the Mechanisms?",  J. R. Soc. Interface, Vol. 5, 2008, p. 3-13.

24.  "On the Mechanism of Strain Replacement in Epidemic Models with Vaccination", in Current Developments in Mathematical Biology, Proceedings of the Conference of Mathematical Biology and Dynamical Systems (K. Mahdavi, R. Culshaw, J. Boucher, Eds.), World Scientific, New Jersey, 2007, p. 149-172.

25. (with M. Iannelli, X. Z. Li) "Subthreshold Coexistence of Strains: The Impact of Vaccination and Mutation", Math. Biosci. Eng., Vol. 4 (2), 2007, p. 287-317.

26. (with S.S. Pilyugin, R.D. Holt) "Subthreshold and Superthreshold Coexistence of Pathogen Variants: The Impact of Host Age-Structure", Math. Biosci. Vol. 207 (1), 2007, p. 58-77.

27. (with B. Bolker) "The Impact of Allee Effect in Dispersal  and Patch-Occupancy Age on the Dynamics of Metapopulations", Bull. Math. Biol., Vol. 69 (1), 2007, p. 135-156.

28. (with E. Shim, Z. Feng, C. Castillo-Chavez) "An Age-Structured Epidemic Model of Rotavirus with Vaccination", J. Math. Biol., Vol. 53 (4), 2006, p. 719-746.

29. (with H.R. Thieme, T. Dhirasakdanon)  "Kolmogorov's Differential Equations and Positive Semigroups on First Moment Sequence Spaces", J. Math. Biol., Vol. 53 (4), 2006, p. 642-671.

30. (with  S.S. Pilyugin) "An Epidemic Model Structured by Host Immunity",  J. Biol. Sys., Vol. 14 (2), 2006, p. 185-203.

31. (with S.S. Pilyugin) "The Role of Coinfection in Multidisease Dynamics", SIAM J. Appl. Math., Vol. 66 (3), 2006, p. 843-872.

32. (with H.R. Thieme) "A Metapopulation Model with Discrete Size Structure", Nat. Res. Mod., Vol. 18 (4), 2005, p. 379-413.

33. (with M. Iannelli, X.-Z. Li) "Strain Replacement in an Epidemic Model with Super-Infection and Perfect Vaccination", Math. Biosci., Vol. 195 (1), 2005, p. 23-46.

34. (with M. Nuno,  Z. Feng, C. Castillo-Chavez) "Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity" ,  SIAM J. Appl. Math., Vol.  67 (3),  2005, p. 964-982.

35. (with H. Thieme) "Progression Age Enhanced Backward Bifurcation in an Epidemic Model with Super-Infection", J. Math. Biol. , Vol. 46 (5), 2003, p. 385-424.

36. (with G. O'Connell) "The Transmission of Meningococcal Infection: A Mathematical Study",  J. Math. Anal. Appl., Vol. 283 (1), 2003, p. 251-275.

37. (with C. Castillo-Chavez, A.-A. Yakubu, H. Thieme) "Nonlinear Mating Models for Populations with Discrete Generations", IMA Volume 125, Springer-Verlag, New York, 2001, p. 251-268.

38. (with M. Iannelli) "Homogeneous Dynamical Systems and the Age-Structured SIR Model with Proportionate Mixing Incidence", in Evolution Equations: Applications to Physics, Industry, Life Sciences, and Economics, Eds. G. Lumer, M. Iannelli ,  Birkhauser, Basel, 2003, p. 227-251.

39. (with C. Kribs-Zaleta) "Vaccination Strategies and Backward Bifurcation in an Age-Since-Infection Structured Model", Math.Biosci., Vol. 177-178, 2002, p. 317-332.

40. (with V. Barbu, M. Iannelli) "On the Controllability of the Lotka-McKendrick Model of Population Dynamics" , J.Math.Anal.Appl., Vol. 253 (1), 2001, p. 142-165.

41. (with C.Castillo-Chavez) "Diseases with Chronic Stage in a Population with Varying Size", Math. Biosci., Vol. 182 (1), 2003, p. 1-25.

42. ``Exponential Growth in Age-Structured Two-Sex Populations'', Math. Biosci., Vol. 157, 1999, p. 1-22.

43. (with M. Iannelli) "A Semigroup Approach to the Well Posedness of the Two-Sex Population Model" , Dynam.Systems Appl., Vol. 6, 1997, p. 353-370.

44. (with F. Milner) "A Two-Sex Age-Structured Population Model: Well Posedness" , Math. Popul. Studies, Vol. 7(2), 1999, p. 111-129.

45. (with F. Milner) "The Mathematics of Sex and Marriage, Revisited" , Math. Popul. Studies, Vol. 9(2), 2001, p. 123-141.

46. (with T. Kostova) "Numerical Solutions to the Gurtin-MacCamy Equations", Mathematica Balkanica, Vol. 3, 1989, p .264-277.

47. (with N. Marchev, T. Drashanski) ``Mathematical Determination of Some Parameters of the Growing Curve of $VNK_{21}S_{13}$ Multiplied in Suspensie'', Veterinary Science, vol XXIV, No 10, 1987, pp. 76-79 (Bulgarian, English summary).

Maia Martcheva

Last modified: Fri March 18 20:21:26 EDT 2011