Fabio A. Milner - Publications

Affiliations: 
Purdue University, West Lafayette, IN, United States 
 Arizona State University, Tempe, AZ, United States 
Area:
Mathematics, Biostatistics Biology

57 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 Gulbudak H, Qu Z, Milner F, Tuncer N. Sensitivity Analysis in an Immuno-Epidemiological Vector-Host Model. Bulletin of Mathematical Biology. 84: 27. PMID 34982249 DOI: 10.1007/s11538-021-00979-0  0.768
2018 Pugliese A, Milner F. A structured population model with diffusion in structure space. Journal of Mathematical Biology. 77: 2079-2102. PMID 29744584 DOI: 10.1007/S00285-018-1246-6  0.437
2018 Pugliese A, Gumel AB, Milner FA, Velasco-Hernandez JX. Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: A theoretical analysis. Mathematical Biosciences and Engineering : Mbe. 15: 125-140. PMID 29161829 DOI: 10.3934/Mbe.2018005  0.437
2017 Ainseba B, Feng Z, Iannelli M, Milner FA. Control Strategies for TB Epidemics Siam Journal On Applied Mathematics. 77: 82-107. DOI: 10.1137/15M1048719  0.35
2016 Maxin D, Milner FA, Sega L. Reduced fertility and asymptotics of the logistic model Mathematical Population Studies. 23: 37-49. DOI: 10.1080/08898480.2016.1117270  0.731
2016 Milner FA. Insights into two-sex population models 2 Mathematical Population Studies. 23: 1-2. DOI: 10.1080/08898480.2016.1116309  0.435
2016 Milner FA, Yang K. The logistic, age℃structured, two-sex population model applied to U.S. demography Mathematical Population Studies. 23: 50-67. DOI: 10.1080/08898480.2014.953898  0.517
2015 Milner FA. Editorial: Insights into Two-Sex Population Models Mathematical Population Studies. 22: 125-126. DOI: 10.1080/08898480.2015.1049106  0.436
2014 Picart D, Milner F. Optimal control in a multistage physiologically structured insect population model Applied Mathematics and Computation. 247: 573-588. DOI: 10.1016/J.Amc.2014.09.014  0.378
2013 Angulo O, Milner F, Sega L. A Sir Epidemic Model Structured By Immunological Variables Journal of Biological Systems. 21: 1340013. DOI: 10.1142/S0218339013400135  0.504
2012 Milner FA. How do nonreproductive groups affect population growth? Mathematical Biosciences and Engineering : Mbe. 2: 579-90. PMID 20369941 DOI: 10.3934/Mbe.2005.2.579  0.406
2012 Gerberry DJ, Milner FA. Could changes in national tuberculosis vaccination policies be ill-informed ? Mathematical Modelling of Natural Phenomena. 7: 78-98. DOI: 10.1051/Mmnp/20127307  0.711
2011 Picart D, Ainseba B, Milner F. Optimal control problem on insect pest populations Applied Mathematics Letters. 24: 1160-1164. DOI: 10.1016/J.Aml.2011.01.043  0.368
2010 Milner FA, Zhao R. A new mathematical model of syphilis Mathematical Modelling of Natural Phenomena. 5: 96-108. DOI: 10.1051/Mmnp/20105605  0.609
2010 Angulo O, López-Marcos JC, López-Marcos MA, Milner FA. A numerical method for nonlinear age-structured population models with finite maximum age Journal of Mathematical Analysis and Applications. 361: 150-160. DOI: 10.1016/J.Jmaa.2009.09.001  0.407
2009 Yang K, Milner F. The logistic, two-sex, age-structured population model. Journal of Biological Dynamics. 3: 252-270. PMID 22880833 DOI: 10.1080/17513750802283261  0.518
2009 Milner FA. Predator-prey interactions, agricultural ecology, demography, aquatic ecology, epidemiology of infectious diseases, cancer, molecular and cell biology, and genetics--from CMPD2, The Second Conference on Computational and Mathematical Population Dynamics, Campinas, Brazil. Journal of Theoretical Biology. 258: 337-8. PMID 19422959 DOI: 10.1016/J.Jtbi.2009.04.012  0.333
2009 Gerberry DJ, Milner FA. An SEIQR model for childhood diseases. Journal of Mathematical Biology. 59: 535-61. PMID 19066896 DOI: 10.1007/S00285-008-0239-2  0.766
2009 Maxin D, Milner FA. The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality. Journal of Theoretical Biology. 258: 389-402. PMID 18835280 DOI: 10.1016/J.Jtbi.2008.08.027  0.76
2009 Lannelli M, Kostova T, Milner FA. A fourth-order method for numerical integration of age- and size-structured population models Numerical Methods For Partial Differential Equations. 25: 918-930. DOI: 10.1002/Num.20381  0.444
2009 Milner FA, Sega LM. Integrating immunological and epidemiological models 18th World Imacs Congress and Modsim09 International Congress On Modelling and Simulation: Interfacing Modelling and Simulation With Mathematical and Computational Sciences, Proceedings. 685-690.  0.725
2008 Zhao R, Milner FA. A Mathematical model of Schistosoma mansoni in Biomphalaria glabrata with control strategies. Bulletin of Mathematical Biology. 70: 1886-905. PMID 18668296 DOI: 10.1007/S11538-008-9330-5  0.646
2008 Milner FA, Zhao R. A deterministic model of schistosomiasis with spatial structure. Mathematical Biosciences and Engineering : Mbe. 5: 505-22. PMID 18616355 DOI: 10.3934/Mbe.2008.5.505  0.563
2008 Milner FA, Zhao R. S-I-R model with directed spatial diffusion Mathematical Population Studies. 15: 160-181. DOI: 10.1080/08898480802221889  0.58
2007 Maxin D, Milner FA. The effect of nonreproductive groups on persistent sexually transmitted diseases. Mathematical Biosciences and Engineering : Mbe. 4: 505-22. PMID 17658938 DOI: 10.3934/Mbe.2007.4.505  0.748
2007 Angulo O, López-Marcos JC, Milner FA. The application of an age-structured model with unbounded mortality to demography Mathematical Biosciences. 208: 495-520. PMID 17306839 DOI: 10.1016/J.Mbs.2006.11.001  0.398
2007 Zhang P, Feng Z, Milner F. A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies. Mathematical Biosciences. 205: 83-107. PMID 17070862 DOI: 10.1016/J.Mbs.2006.06.006  0.412
2006 Iannelli M, Kostova T, Milner F. Epidemics in wildlife Mathematical Population Studies. 13: 117-118. DOI: 10.1080/08898480600878500  0.318
2005 Feng Z, Li CC, Milner FA. Schistosomiasis models with two migrating human groups Mathematical and Computer Modelling. 41: 1213-1230. DOI: 10.1016/J.Mcm.2004.10.023  0.405
2004 Feng Z, Eppert A, Milner FA, Minchella DJ. Estimation of parameters governing the transmission dynamics of schistosomes Applied Mathematics Letters. 17: 1105-1112. DOI: 10.1016/J.Aml.2004.02.002  0.375
2003 Milner FA, Patton CA. A diffusion model for host-parasite interaction Journal of Computational and Applied Mathematics. 154: 273-302. DOI: 10.1016/S0377-0427(02)00826-9  0.401
2003 Langlais M, Milner FA. Existence and uniqueness of solutions for a diffusion model of host-parasite dynamics Journal of Mathematical Analysis and Applications. 279: 463-474. DOI: 10.1016/S0022-247X(03)00020-9  0.427
2002 Feng Z, Li CC, Milner FA. Schistosomiasis models with density dependence and age of infection in snail dynamics. Mathematical Biosciences. 177: 271-86. PMID 11965259 DOI: 10.1016/S0025-5564(01)00115-8  0.658
2002 Feng Z, Iannelli M, Milner FA. A two-strain tuberculosis model with age of infection Siam Journal On Applied Mathematics. 62: 1634-1656. DOI: 10.1137/S003613990038205X  0.342
2001 Martcheva M, Milner FA. The mathematics of sex and marriage, revisited Mathematical Population Studies. 9: 123-141. DOI: 10.1080/08898480109525499  0.638
2001 Milner FA, Patton CA. Existence of solutions for a host-parasite model Journal of Computational and Applied Mathematics. 137: 331-361. DOI: 10.1016/S0377-0427(00)00709-3  0.371
2001 Iannelli M, Milner FA. On the approximation of the Lotka-McKendrick equation with finite life-span Journal of Computational and Applied Mathematics. 136: 245-254. DOI: 10.1016/S0377-0427(00)00616-6  0.321
1999 Martcheva M, Milner FA. A two-sex age-structured population model: Well posedness Mathematical Population Studies. 7: 111-129. PMID 12294987 DOI: 10.1080/08898489909525450  0.667
1999 Milner FA, Pugliese A. Periodic solutions: A robust numerical method for an S-I-R model of epidemics Journal of Mathematical Biology. 39: 471-492. PMID 10672508 DOI: 10.1007/S002850050175  0.348
1999 Milner FA, Patton CA. A new approach to mathematical modeling of host-parasite systems Computers and Mathematics With Applications. 37: 93-110. DOI: 10.1016/S0898-1221(98)00255-7  0.435
1998 Cha Y, Iannelli M, Milner FA. Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model Mathematical Biosciences. 150: 177-190. PMID 9656649 DOI: 10.1016/S0025-5564(98)10006-8  0.364
1998 Duan Q, Li G, Milner FA. A First-Second Order Splitting Method for a Third-Order Partial Differential Equation Numerical Methods For Partial Differential Equations. 14: 89-96. DOI: 10.1002/(Sici)1098-2426(199801)14:1<89::Aid-Num5>3.0.Co;2-H  0.3
1997 Iannelli M, Milner FA, Pugliese A, Gonzo M. The HIV/AIDS epidemics among drug injectors: A study of contact structure through a mathematical model Mathematical Biosciences. 139: 25-58. PMID 9111778 DOI: 10.1016/S0025-5564(96)00137-X  0.423
1996 Iannelli M, Loro R, Milner FA, Pugliese A, Rabbiolo G. Numerical analysis of a model for the spread of HIV/AIDS Siam Journal On Numerical Analysis. 33: 864-882. DOI: 10.1137/0733043  0.319
1995 Kostova T, Milner FA. An Age-Structured Model of Population Dynamics with Dominant Ages, Delayed Behavior, and Oscillations Mathematical Population Studies. 5: 359-375. PMID 12347232 DOI: 10.1080/08898489509525412  0.378
1995 Kim MY, Milner FA. A mathematical model of epidemics with screening and variable infectivity Mathematical and Computer Modelling. 21: 29-42. DOI: 10.1016/0895-7177(95)00029-2  0.395
1994 Langlais M, Milner FA. Separable solutions of an age-dependent population model with age dominance and their stability Mathematical Biosciences. 119: 115-125. PMID 8111134 DOI: 10.1016/0025-5564(94)90007-8  0.392
1993 Milner FA. Age structured populations with history dependent mortality and natality Calcolo. 30: 29-39. DOI: 10.1007/Bf02576525  0.401
1993 Milner FA. Numerical method for a model of inhomogeneous muscle fibers Numerical Methods For Partial Differential Equations. 9: 51-62. DOI: 10.1002/Num.1690090106  0.312
1992 Milner FA, Rabbiolo G. Rapidly converging numerical algorithms for models of population dynamics Journal of Mathematical Biology. 30: 733-753. PMID 1522394 DOI: 10.1007/Bf00173266  0.423
1992 Iannelli M, Milner FA, Pugliese A. Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission Siam Journal On Mathematical Analysis. 23: 662-688. DOI: 10.1137/0523034  0.453
1991 Kostova T, Milner F. Nonlinear age-dependent population dynamics with constant size Siam Journal On Mathematical Analysis. 22: 129-137. DOI: 10.1137/0522007  0.4
1990 Milner FA. A numerical method for a model of population dynamics with spatial diffusion Computers and Mathematics With Applications. 19: 31-43. DOI: 10.1016/0898-1221(90)90135-7  0.373
1988 Milner FA. A finite element method for a two-sex model of population dynamics Numerical Methods For Partial Differential Equations. 4: 329-345. DOI: 10.1002/Num.1690040406  0.4
1987 Douglas J, Milner FA. Numerical methods for a model of population dynamics Calcolo. 24: 247-254. DOI: 10.1007/Bf02679109  0.418
1985 Milner FA. Mixed finite element methods for quasilinear second-order elliptic problems Mathematics of Computation. 44: 303-320. DOI: 10.1090/S0025-5718-1985-0777266-1  0.302
1983 Douglas J, Milner FA. Numerical methods for a model of cardiac muscle contraction Calcolo. 20: 129-141. DOI: 10.1007/Bf02575589  0.302
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