Martcheva, Maia

• 2834841
  Yang, Jun-Yuan; Li, Xue-Zhi(PRC-XNU); Martcheva, Maia(1-FL)
  Global stability of a DS-DI epidemic model with age of infection. (English summary)
  J. Math. Anal. Appl. 385 (2012), no. 2, 655–671.
  34K20 (92D30)
  
• 2819511
  Li, Xue-Zhi(PRC-XNU); Bhattacharya, Souvik(1-FL); Yang, Jun-Yuan; Martcheva, Maia(1-FL)
  A tuberculosis (TB) model with undetected compartment: an application to China. (English summary)
  J. Biol. Systems 19 (2011), no. 2, 205–236.
  92D30
  
• 2748072
  Martcheva, Maia(1-FL); Hoppensteadt, Frank(1-NY-X)
  India's approach to eliminating Plasmodium falciparum malaria: a modeling perspective. (English summary)
  J. Biol. Systems 18 (2010), no. 4, 867–891.
  92D30 (92D40)
  
• 2740569
  Mubayi, Anuj(1-AZS-MCM); Kribs Zaleta, Christopher(1-TXA); Martcheva, Maia(1-FL); Castillo-Chávez, Carlos(1-AZS-MCM)
  A cost-based comparison of quarantine strategies for new emerging diseases. (English summary)
  Math. Biosci. Eng. 7 (2010), no. 3, 687–717.
  92D30 (37N25)
  
• 2761884
  Bhattacharya, Souvik(1-FL); Martcheva, Maia(1-FL)
  Oscillations in a size-structure prey-predator model. (English summary)
  Math. Biosci. 228 (2010), no. 1, 31–44.
  92D25 (35Q92)
  
• 2654284
  Li, Xue-Zhi(PRC-XNU); Liu, Ji-Xuan(PRC-XNU); Martcheva, Maia(1-FL)
  An age-structured two-strain epidemic model with super-infection. (English summary)
  Math. Biosci. Eng. 7 (2010), no. 1, 123--147.
  92D30 (35B35 35F16)
  
• 2605970
  Nuño, M.; Martcheva, M.(1-FL); Castillo-Chavez, C.(1-AZS-MS)
  Immune level approach for multiple strain pathogens. (English summary)
  J. Biol. Systems 17 (2009), no. 4, 713--737.
  92D30 (34C60 37N25)
  
• 2574006
  Martcheva, Maia(1-FL)
  A non-autonomous multi-strain SIS epidemic model. (English summary)
  J. Biol. Dyn. 3 (2009), no. 2-3, 235--251.
  92D30 (34C25 34D05 92D40)
  
• 2505046
  Martcheva, Maia(1-FL)
  Evolutionary consequences of predation for pathogens in prey. (English summary)
  Bull. Math. Biol. 71 (2009), no. 4, 819--844.
  92Dxx (34C60)
  
• 2428383
  Nuño, M.(1-UCLA-BSH); Castillo-Chavez, C.(1-AZS-MS); Feng, Z.(1-PURD); Martcheva, M.(1-FL)
  Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure. (English summary) Mathematical epidemiology, 349--364,
  Lecture Notes in Math., 1945, Springer, Berlin, 2008.
  92D30 (35Q80)
  
• 2433575
  Martcheva, M.(1-FL); Thieme, H. R.(1-AZS-MS)
  Infinite ODE systems modeling size-structured metapopulations, macroparasitic diseases, and prion proliferation. (English summary) Structured population models in biology and epidemiology, 51--113,
  Lecture Notes in Math., 1936, Springer, Berlin, 2008.
  92D25 (34A12 34B45 34G20)
  
• 2445247
  Wei, Hui-Ming(PRC-XJU-MPF); Li, Xue-Zhi(PRC-XNU); Martcheva, Maia(1-FL)
  An epidemic model of a vector-borne disease with direct transmission and time delay. (English summary)
  J. Math. Anal. Appl. 342 (2008), no. 2, 895--908.
  34K20 (34K18 37N25 92Dxx)
  
• 2367033
  Martcheva, Maia(1-FL); Thieme, Horst R.(1-AZS-MS); Dhirasakdanon, Thanate(1-AZS-MS)
  Erratum: "Kolmogorov's differential equations and positive semigroups on first moment sequence spaces" [J. Math. Biol. 53 (2006), no. 4, 642--671; MR2251789].
  J. Math. Biol. 56 (2008), no. 4, 577--578.
  34G20 (34C11 34D05 92D25)
  
• 2325196
  Martcheva, Maia(1-FL)
  On the mechanism of strain replacement in epidemic models with vaccination. (English summary) Current developments in mathematical biology, 149--172,
  Ser. Knots Everything, 38, World Sci. Publ., Hackensack, NJ, 2007.
  92D30 (34C11 37N25)
  
• 2320699
  Martcheva, Maia(1-FL); Bolker, Benjamin M.(1-FL)
  The impact of the Allee effect in dispersal and patch-occupancy age on the dynamics of metapopulations. (English summary)
  Bull. Math. Biol. 69 (2007), no. 1, 135--156.
  92D25 (34K20 35F05)
  
• 2322005
  Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL); Holt, Robert D.(1-FL-Z)
  Subthreshold and superthreshold coexistence of pathogen variants: the impact of host age-structure. (English summary)
  Math. Biosci. 207 (2007), no. 1, 58--77.
  92D30 (34C11)
  
• 2293766
  Martcheva, Maia(1-FL); Iannelli, Mimmo(I-TRNT); Li, Xue-Zhi(PRC-XNU)
  Subthreshold coexistence of strains: the impact of vaccination and mutation. (English summary)
  Math. Biosci. Eng. 4 (2007), no. 2, 287--317 (electronic).
  92D30
  
• 2487364
  Shim, E.(1-AZS-MS); Feng, Z.(1-PURD); Martcheva, M.(1-FL); Castillo-Chavez, C.(1-AZS-MS)
  An age-structured epidemic model of rotavirus with vaccination. (English summary)
  J. Math. Biol. 53 (2006), no. 4, 719--746.
  92D30
  
• 1500099
  Shim, E.(1-AZS-MS); Feng, Z.(1-PURD); Martcheva, M.(1-FL); Castillo-Chavez, C.(1-AZS-MS)
  An age-structured epidemic model of rotavirus with vaccination. (English summary)
  J. Math. Biol. 53 (2006), no. 4, 719--746.
  92D30
  
• 2251789
  Martcheva, Maia(1-FL); Thieme, Horst R.(1-AZS-MS); Dhirasakdanon, Thanate(1-AZS-MS)
  Kolmogorov's differential equations and positive semigroups on first moment sequence spaces. (English summary)
  J. Math. Biol. 53 (2006), no. 4, 642--671.
  34G20 (34C11 34D05 92D25)
  
• 2216723
  Martcheva, Maia(1-FL); Pilyugin, Sergei S.(1-FL)
  The role of coinfection in multidisease dynamics. (English. English summary)
  SIAM J. Appl. Math. 66 (2006), no. 3, 843--872 (electronic).
  35F25 (35B32 35B35 37N25 92D30)
• 2199045
  Martcheva, Maia(1-FL); Thieme, Horst R.(1-AZS-MS)
  A metapopulation model with discrete size structure. (English. English summary)
  Natur. Resource Modeling 18 (2005), no. 4, 379--413.
  92D25 (34A35 34C60)
• 2147532
  Iannelli, Mimmo(I-TRNT); Martcheva, Maia(1-FL); Li, Xue-Zhi(PRC-XNU)
  Strain replacement in an epidemic model with super-infection and perfect vaccination. (English. English summary)
  Math. Biosci. 195 (2005), no. 1, 23--46.
  92D30 (34D23)
• 2136038
  Nuño, M.(1-CRNL-BSC); Feng, Z.(1-PURD); Martcheva, M.(1-FL); Castillo-Chavez, C.(1-AZS-MS)
  Dynamics of two-strain influenza with isolation and partial cross-immunity. (English. English summary)
  SIAM J. Appl. Math. 65 (2005), no. 3, 964--982 (electronic).
  92D30 (34C25)
• 2134254
  Iannelli, M.(I-TRNT); Martcheva, M.(1-FL); Milner, F. A.(1-PURD)
  Gender-structured population modeling.
  Mathematical methods, numerics, and simulations. Frontiers in Applied Mathematics, 31.
  Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2005. xvi+175 pp. ISBN 0-89871-577-6
  35Q80 (92D25)
• 2013193
  Iannelli, Mimmo(I-TRNT); Martcheva, Maia(1-PINY)
  Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence.
  Evolution equations: applications to physics, industry, life sciences and economics (Levico Terme, 2000), 227--251,
  Progr. Nonlinear Differential Equations Appl., 55,
  Birkhäuser, Basel, 2003.
  34G20 (47D06 47N60 92D25)
• 1998995
  Martcheva, Maia(1-PINY); Thieme, Horst R.(1-AZS)
  Progression age enhanced backward bifurcation in an epidemic model with super-infection. (English. English summary)
  J. Math. Biol. 46 (2003), no. 5, 385--424.
  92Dxx (34K18 37N25)
• 1994189
  Martcheva, Maia(1-CRNL-BSC); Crispino-O'Connell, Gloria
  The transmission of meningococcal infection: a mathematical study. (English. English summary)
  J. Math. Anal. Appl. 283 (2003), no. 1, 251--275.
  92D30 (47D06 47Nxx)
• 1958647
  Martcheva, Maia(1-PINY); Castillo-Chavez, Carlos(1-CRNL-BSC)
  Diseases with chronic stage in a population with varying size. (English. English summary)
  Math. Biosci. 182 (2003), no. 1, 1--25.
  92D30 (34C60)
• 1938889
  Castillo-Chavez, Carlos(1-CRNL-DBM); Yakubu, Abdul-Aziz(1-HWRD); Thieme, Horst(1-AZS); Martcheva, Maia(1-PINY)
  Nonlinear mating models for populations with discrete generations. (English. English summary)
  Mathematical approaches for emerging and reemerging infectious diseases: an introduction (Minneapolis, MN, 1999), 251--268,
  IMA Vol. Math. Appl., 125,
  Springer, New York, 2002.
  92D25
• 1923815
  Kribs-Zaleta, Christopher M.(1-TXA); Martcheva, Maia(1-PINY-AM)
  Vaccination strategies and backward bifurcation in an age-since-infection structured model. (English. English summary)
  Deterministic and stochastic modeling of biointeraction (West Lafayette, IN, 2000).
  Math. Biosci. 177/178 (2002), 317--332.
  92D30 (34C60 92C50 92C60)
• 1804594
  Barbu, Viorel(R-IASI); Iannelli, Mimmo(I-TRNT); Martcheva, Maia(1-PINY-AM)
  On the controllability of the Lotka-McKendrick model of population dynamics. (English. English summary)
  J. Math. Anal. Appl. 253 (2001), no. 1, 142--165.
  92D25 (92D40 93B05)
• 1820350
  Martcheva, Maia(1-PURD); Milner, Fabio A.(1-PURD)
  A two-sex age-structured population model: well posedness. (English. English summary)
  Math. Population Stud. 7 (1999), no. 2, 111--129.
  92D25
• 1686467
  Martcheva, Maia(1-PURD)
  Exponential growth in age-structured two-sex populations. (English. English summary)
  Deterministic models with applications in population dynamics and other fields of biology (Sofia, 1997).
  Math. Biosci. 157 (1999), no. 1-2, 1--22.
  92D25
• 1470825
  Iannelli, Mimmo(I-TRNT); Martcheva, Maia(1-PURD)
  A semigroup approach to the well posedness of an age-structured two-sex population model. (English. English summary)
  Dynam. Systems Appl. 6 (1997), no. 3, 353--369.
  92D25 (35Q80 47D06 47N60)
• 1048049
  Kostova, T.(BG-AOS); Marcheva, M.(BG-AOS)
  Numerical solutions to the Gurtin-MacCamy equation.
  Math. Balkanica (N.S.) 3 (1989), no. 3-4, 264--277.
  65R20 (92D25)