Department of Mathematics

Zhilan Feng

Zhilan Feng's publications


A list of journal articles

Zhilan Feng Portrait A DIMACS/AMS volume

A special MBE issue--Tribute to Horst R. Thieme on the Occasion of his 60th Birthday


#1 of the "ScienceDirect Top 25 Hottest Articles"

in Mathematical Biosciences, July-Sep 2004


A simple SIR model for the 2009 H1N1 pandemic influenza in the United States

Highlight of the result



Abstracts of selected papers (email if you want an article in pdf)

  • Feng, Z., Alfaro-Murillo, J. A., DeAngelis, D. L., Schmidt, J., Barga, M., Zheng, Y., Ahmad Tamrin, M.H.B., Olson, M., Glaser, T., Kielland, K., Chapin III, F. S., Bryant, J., Plant toxins and trophic cascades alter fire regime and succession on a boreal forest landscape , Ecological Modeling, 10.1016/j.ecolmodel.2012.06.022, 2012.

  • Castillo-Chavez C., Feng, Z., Huang, W., Global dynamics of a plant-herbivore model with toxin-determined functional response , SIAM J. Appl. Math. 72 (4), 1002-1020, 2012.

  • Glasser J., Feng Z., Moylan A., Del Valled S., Castillo-Chavez C., Mixing in age-structured population models of infectious diseases, Math. Biosci. 235 (1), 1-7, 2012.

  • Xu, D., Sandland, G. J., Minchella, D. J., Feng, Z., Interactions among virulence, coinfection and drug resistance in a complex life-cycle parasite , J. Theor. Biol. 304, 197-210, 2012.

  • Feng, Z., Velasco-Hernandez, J., Tapia-Santos, B., A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease , MBS , 10.1016/j.mbs.2012.09.004, 2012.

  • Towers, S., Vogt Geisse, K., Tsai, C-C., Han, Q., Feng, Z., The impact of school closures on pandemic influenza: Assessing potential prepercussions using a seasonal SIR model , MBE 9 (2), 413-430, 2012.

  • Shim, E., Feng, Z., Castillo-Chavez, C., Differential impact of sickle cell trait on symptomatic and asymptomatic malaria , MBE , 2012.

  • Feng, Z., Velasco-Hernandez, J., Tapia-Santos, B., Leite, M., A model for coupling within-host and between-host dynamics in an infectious disease , Nonlinear Dyn. DOI. 10.1007/s11071-011-0291-0, 2011.

  • Yang Y., Feng Z., Xu D., Sandland G., Minchella D.J., Evolution of host resistance to parasite infection in the snail-schistosome-human system, J. Math. Biol. DOI : 10.1007/s00285-011-0457-x, 2011.

  • Feng Z., Qiu Z., Liu, R., DeAngelis, D., Dynamics of a plant-herbivore-predator system with plant-toxicity, Math. Biosci., 299, 190-204, 2011.

  • Chow, L., Fan, M., Feng Z., Dynamics of a multigroup epidemiological model with group-targeted vaccination strategies, J. Theor. Biol., doi:10.1016/j.jtbi.2011.09.020, 2011.

  • Towers, S., Vogt Geisse, K., Zheng, Y., Feng, Z., Antiviral treatment for pandemic influenza: Assessing potential repercussions using a seasonally forced SIR model, J. Theor. Biol., doi:10.1016/j.jtbi.2011.08.011, 2011.

  • Feng Z., Towers S., Yang Y., Modeling the effects of vaccination and treatment on pandemic influenza, AAPSJ, DOI: 10.1208/s12248-011-9284-7, 2011.

  • Glasser J, Taneri D, Feng Z, Chuang J-H, Tüll P, et al. Evaluation of Targeted Influenza Vaccination Strategies via Population Modeling, PLoS ONE, 5(9): e12777. doi:10.1371/journal.pone.0012777, 2010.

  • Feng, Z., Liu, R., Qiu, Z., Rivera, J., Yakubu, A. Coexistence of competitors in deterministic and stochastic patchy environments, JBD, 2010.

  • Qiu, Z., Feng, Z., Transmission dynamics of an influenza model with vaccination and antiviral treatment, Bull. Math. Biol., 72 (1), 1-33, 2010.

  • Yan, P., Feng, Z., Variability order of the latent and the infectious periods in a deterministic SEIR epidemic model and evaluation of control effectiveness, Math. Biosci., 224, 43-52, 2010.

  • Qiu, Z. Feng, Z. Transmission dynamics of an influenza model with age of infection and antiviral treatment, J. Dyn. Diff. Equat., In press, 2010. DOI 10.1007/s10884-010-9178-x

  • Qiu, Z., Feng, Z., Dynamics of an epidemic model with targeted antiviral prophylaxis, JBD, 4 (5), 506-526, 2010.

  • Brauer, F., Feng, Z., Castillo-Chavez, C., Discrete epidemic models, MBE, 7(1), 1-16, 2010.

  • Li, Y., Feng, Z., Dynamics of a plant-herbivore model with toxin-induced functional response, MBE, 7(1), 149-169, 2010.

  • Feng, Z., Yang, Y., Xu, D., P. Zhang, McCauley, M., Glasser, J., Timely identification of optimal control strategies for emerging infectious diseases, J. Theor. Biol., 259 (1), 165-171, 2009.

  • Towers, S., Feng, Z., Pandemic H1N1 influenza: Predicting the course of pandemic and assessing the efficacy of the planned vaccination programme in the United States, Eurosurveillance, 14 (41), 2009.
    Media report:
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    Journal & Courier
    Washington Times
    Los Angeles Times

  • Roeger, L-I. W., Feng, Z., Castillo-Chavez, C., Modeling TB and HIV co-infections, MBE, 6(4), 815-837, 2009.

  • Feng, Z., Liu, R. and DeAngelis, D. L., Bryant, J. P., Kielland, K., Chapin, F. S. III, Swihart, R. K., Plant toxicity, adaptive herbivory, and plant community dynamics, Ecosystems, DOI: 10.1007/s10021-009-9240-x, 2009.

  • Swihart, R. K., DeAngelis, D. L., Feng, Z., Bryant, J. P., Troublesome toxins: time to re-think plant-herbivore interactions in vertebrate ecology, BMC Ecology, doi:10.1186/1472-6785-9-5, 2009.

  • Xu, D. and Feng, Z., A metapopulation model with local competitions, DCDSB, 12(2) 495-511, 2009.

  • Feng, Z., Liu, R. and DeAngelis, D. L., Plant-herbivore interactions mediated by plant toxicity, Theor. Pop. Biol. 73, 449-459, 2008.

  • Liu, R., Feng, Z., Zhu, H. and DeAngelis, D. L., Bifurcation analysis of a plant-herbivore model with toxin-determined functional response, J. Differential Equations, 245, 442-467, 2008.

  • Castillo-Chavez, C., Feng, Z., Xu, D., A schistosomiasis model with mating structure and time delay, Mathematical Biosciences, 211, 333-341, 2008.

  • Zhou, Y., Khan, K., Feng, Z., Wu, J., Projection of tuberculosis incidence with increasing immigration trends, J. Theoretical Biology, 254, 215-228, 2008.

  • Yang, Y., Feng, Z., Xu, D., Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations, Math. Model. Nat. Phenom. 3(7), 180-193, 2008.

  • Nuno, M., Castillo-Chavez, C., Feng, Z., Martcheva, M., Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure, In: Mathematical Epidemiology, P. van den Driessche, J. Wu and F. Brauer (eds.), Springer Berlin/Heidelberg, pp. 349-364, 2008.

  • Rong, L., Feng, Z. and Perelson, A., Mathematical modeling of HIV-1 infection and drug therapy, In: Mathematical Modeling of Biosystems, R.P. Mondaini and P.M. Pardalos (eds.), Springer-Verlag, pp. 87-131, 2008.

  • Rong, L., Feng, Z. and Perelson, A., Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy, SIAM J. Appl. Math. 67, 731-756, 2007.

  • Rong, L., Feng, Z. and Perelson, A., Emergence of HIV-1 drug resistance during antiretroviral treatment, Bulletin of Mathematical Biology, 69 (6), 2027-2060, 2007.

  • Rong, L., Gilchrist, M., Feng, Z. and Perelson, A., Modeling within-host HIV-1 dynamics and the evolution of drug resistance: Trade-offs between viral enzyme function and drug susceptibility, J. Theoretical Biology, 247, 804-818, 2007.

  • Feng, Z., Xu, D. and Zhao, H., Epidemiological models with non-exponentially distributed disease stages and applications to disease control, Bulletin of Mathematical Biology, 69 (5), 1511-1536, 2007.

  • Zhang, P., Feng, Z. and Milner, F., A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies , Mathematical Biosciences, 205 (1), 83-107, 2007.

  • Zhang, P., Sandland, G., Feng, Z., Xu, D., Minchella, D., Evolutionary implications for interactions between multiple strains of host and parasite, J. Theoretical Biology, 248, 225-240, 2007.

  • Alexander, M., Bowman, C., Feng, Z., Gardam, M., Moghadas, S., Rost, G., Wu, J., Yan, P., Emergence of drug -resistance: dynamical implications for pandemic influenza , Proc. R. Soc. B. doi:10.1098/rspb.2007.0422, 2007.

  • Feng, Z., Final and peak epidemic sizes for SEIR models with quarantine and isolation, MBE, 4 (4), 675-686, 2007.

  • Xu, D., Feng, Z., Allen, L. and Swihart, R., A spatially structured metapopulation model with patch dynamics, J. Theoretical Biology, 239, 469-481, 2006.

  • Feng, Z., Rong, L., The influence of anti-viral drug therapy on the evolution of HIV-1 pathogens, in: Disease Evolution: Models, Concepts, and Data Analyses, Feng, Z., Dieckmann, U. and Levin, S. A. (eds.), American Mathematical Society, 161-179, 2006.

  • Li, Y., Feng, Z., Swihart, R., Bryant, J. and Huntly, N., Modeling the impact of plant toxicity on plant-herbivore dynamics, J. Dynamics & Differential Equations, 18 (4), 1021-1024, 2006.

  • Shim, E., Feng, Z., Martcheva, M. and Castillo-Chavez, C., An age-structured epidemic model of rotavirus with vaccination, J. Mathematical Biology, 53 (4) 719-746, 2006.

  • Feng, Z., Castillo-Chavez, C., The influence of infectious diseases on population genetics, Mathematical Biosciences and Engineering, 3 (3) 467-483, 2006.

  • DeWoody, Y., Feng, Z. and Swihart, R., Merging spatial and temporal structure within a metapopulation model, American Naturalist, 66 (1), 42-55, 2005.

  • Feng, Z., Huang, W. and Castillo-Chavez, C., Global behavior of a multi-group SIS epidemic model with age structure, J. Differential Equations, 218(2), 292-324, 2005.

  • Feng, Z., Rong, L. and Swihart, R. Dynamics of an age-structured metapopulation model, Natural Resource Modeling, 18(4), 415-440, 2005.

  • Nuno, M., Feng, Z., Martcheva, M. and Castillo-Chavez, C., Dynamics of two-strain influenza with isolation and partial cross-immunity, SIAM J. Appl. Math., 65 (3), 964-982, 2005.

  • Xu, D., Curtis, J., Feng, Z. and Minchella, J.D., On the role of schistosome mating structure in the maintenance of drug resistant strains, Bulletin of Mathematical Biology, 67 (6), 1207-1226, 2005.

  • Fan, M., Kuang, Y. and Feng, Z., Cats protecting birds revisited, Bulletin of Mathematical Biology, 67, 1081-1106, 2005.

  • Feng, Z., Smith, D.L., McKenzie, F.E. and Levin, S.A., Coupling ecology and evolution: malaria and the S-gene across time scales, Mathematical Biosciences, 189, 1-19, 2004.
    #1 of the "ScienceDirect Top 25 Hottest Articles" in Mathematical Biosciences, July-Sep 2004.

  • Feng, Z., Swihart, R., Yi, Y. and Zhu, H., Coexistence in a metapopulation model with explicit local dynamics, Mathematical Biosciences and Engineering, 1 (1), 131-145, 2004.

  • Feng, Z., Yi, Y. and Zhu, H., Fast and slow dynamics of malaria and the S-gene frequency, Journal of Dynamics and Differential Equations, 16 (4), 869-896, 2004.

  • Feng, Z., Eppert, A., Milner, F. and Minchella, D., Estimation of parameters governing the transmission dynamics of schistosomes, Applied Mathematics Letters, 17, 1105-1112, 2004.

  • Rusell, R., Swihart, R. and Feng, Z., Population consequences of movement decisions in a patchy landscape, Oikos, 103, 142-152, 2003.

  • Feng, Z., Li, C-C. and Milner, F., Schistosomiasis models with density dependence and age of infection in snail dynamics, Mathematical Biosciences, 177-178, 271-286, 2002.

  • Jung, E., Lenhart, S. and Feng, Z., Optimal control of treatments in a two-strain tuberculosis model, Discrete and Continuous Dynamical Systems, 2(4), 473-482, 2002.

  • Feng, Z., Iannelli, M. and Milner, F., A two-strain TB model with age-structure, SIAM J. Appl. Math., 62 (5), 1634-1656, 2002.

  • Feng, Z., Curtis, J. and Minchella, D., The influence of drug treatment on the maintenance of schistosome genetic diversity, J. Mathematical Biology, 43, 52-68, 2001.

  • Swihart, R., Feng, Z., Slade, S., Mason, D. and Gehring, T., Effects of habitat destruction and resource supplementation in a predator-prey metapopulation model, J. Theoretical Biology, 210(3), 287-303, 2001.

  • Feng, Z., Huang, W. and Castillo-Chavez, C., On the role of variable latent periods in mathematical models for tuberculosis, J. Dynamics and Differential Equations, 13(2), 425-452, 2001.

  • Feng, Z. and Thieme, H., Endemic models for the spread of infectious diseases with arbitrarily distributed disease stages I: General Theory, SIAM J. Appl. Math., 61(3), 803-833, 2000

  • Feng, Z. and Thieme, H., Endemic models for the spread of infectious diseases with arbitrarily distributed disease stages II: Fast disease dynamics and permanent recovery, SIAM J. Appl. Math., 61(3), 983-1012, 2000

  • Feng, Z., Castillo-Chavez, C. and Capurro, A., A model for TB with exogenous reinfection, Theoretical Population Biology, 57, 235-247, 2000.

  • Wu, L-I., Feng, Z., Homoclinic bifurcation in a model for childhood diseases, J. Differential Equations, 168, 150-167, 2000.

  • Castillo-Chavez, C. and Feng, Z., Global stability of an age-structure model for TB and its applications to optimal vaccination, Mathematical Biosciences, 151, 135-154, 1998.

  • Feng, Z. and Velasco-Hernandez, J.X., Competitive exclusion in a vector-host model for the dengue fever, J. Mathematical Biology, 35, 523-544, 1997.

  • Castillo-Chavez, C. and Feng, Z., To treat or not to treat: the case of tuberculosis, J. Mathematical Biology, 35, 629-659, 1997.

  • Feng, Z. and Thieme, H., Recurrent outbreaks of childhood diseases revisited: the impact of isolation, Mathematical Biosciences, 128, 93-129, 1995.