Zhilan Feng

Summary

Affiliation: Purdue University
Country: USA

Publications

  1. ncbi request reprint Pandemic H1N1 influenza: predicting the course of a pandemic and assessing the efficacy of the planned vaccination programme in the United States
    S Towers
    Department of Statistics, Purdue University, West Lafayette, Indiana, USA
    Euro Surveill 14:19358. 2009
  2. ncbi request reprint Spatially heterogeneous invasion of toxic plant mediated by herbivory
    Zhilan Feng
    Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
    Math Biosci Eng 10:1519-38. 2013
  3. ncbi request reprint Modeling the synergy between HSV-2 and HIV and potential impact of HSV-2 therapy
    Zhilan Feng
    Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, PR China Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA Electronic address
    Math Biosci 245:171-87. 2013
  4. doi request reprint A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, Indiana, USA
    Math Biosci 241:49-55. 2013
  5. ncbi request reprint Schistosomiasis models with density dependence and age of infection in snail dynamics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907 1395, USA
    Math Biosci 177:271-86. 2002
  6. ncbi request reprint Final and peak epidemic sizes for SEIR models with quarantine and isolation
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Math Biosci Eng 4:675-86. 2007
  7. pmc Modeling the effects of vaccination and treatment on pandemic influenza
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, Indiana 47906, USA
    AAPS J 13:427-37. 2011
  8. ncbi request reprint The influence of infectious diseases on population genetics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907
    Math Biosci Eng 3:467-83. 2006
  9. ncbi request reprint Coexistence in a metapopulation model with explicit local dynamics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907
    Math Biosci Eng 1:131-45. 2004
  10. ncbi request reprint The influence of drug treatment on the maintenance of schistosome genetic diversity
    Z Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Math Biol 43:52-68. 2001

Detail Information

Publications33

  1. ncbi request reprint Pandemic H1N1 influenza: predicting the course of a pandemic and assessing the efficacy of the planned vaccination programme in the United States
    S Towers
    Department of Statistics, Purdue University, West Lafayette, Indiana, USA
    Euro Surveill 14:19358. 2009
    ....
  2. ncbi request reprint Spatially heterogeneous invasion of toxic plant mediated by herbivory
    Zhilan Feng
    Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
    Math Biosci Eng 10:1519-38. 2013
    ..Under certain conditions it is shown that, for the spatially homogeneous system all solutions will converge to the equilibrium E2, whereas for the reaction-diffusion model there exist traveling wave solutions connecting E1 and E2. ..
  3. ncbi request reprint Modeling the synergy between HSV-2 and HIV and potential impact of HSV-2 therapy
    Zhilan Feng
    Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, PR China Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA Electronic address
    Math Biosci 245:171-87. 2013
    ..Most importantly, we illustrate that the aforementioned aspects of the population dynamics can be significantly influenced by the sexual structure of the population. ..
  4. doi request reprint A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, Indiana, USA
    Math Biosci 241:49-55. 2013
    ..We show that these reproduction numbers determine the stability of the infection-free and the endemic equilibrium points. Our model may present a so-called backward bifurcation...
  5. ncbi request reprint Schistosomiasis models with density dependence and age of infection in snail dynamics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907 1395, USA
    Math Biosci 177:271-86. 2002
    ..Evaluations of cost-effectiveness are also discussed by analyzing the sensitivity of the mean number of parasites per person to changes of other parameters...
  6. ncbi request reprint Final and peak epidemic sizes for SEIR models with quarantine and isolation
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Math Biosci Eng 4:675-86. 2007
    ....
  7. pmc Modeling the effects of vaccination and treatment on pandemic influenza
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, Indiana 47906, USA
    AAPS J 13:427-37. 2011
    ..Particularly, the models can help identify potential adverse effects of vaccination and drug treatment in the case of pandemic influenza...
  8. ncbi request reprint The influence of infectious diseases on population genetics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907
    Math Biosci Eng 3:467-83. 2006
    ..We start from the published results of an earlier model and proceed to remove some model restrictions in order to better understand the impact on the natural hosts' genetics in an environment where malaria is endemic...
  9. ncbi request reprint Coexistence in a metapopulation model with explicit local dynamics
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907
    Math Biosci Eng 1:131-45. 2004
    ..Our results show that the coupled system leads to more complex outcomes than simple patch models which do not include explicit local dynamics. We also discuss implications of the model for ecological systems in fragmented landscapes...
  10. ncbi request reprint The influence of drug treatment on the maintenance of schistosome genetic diversity
    Z Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Math Biol 43:52-68. 2001
    ....
  11. ncbi request reprint Epidemiological models with non-exponentially distributed disease stages and applications to disease control
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Bull Math Biol 69:1511-36. 2007
    ..Numerical simulations suggest that models that assume exponential and non-exponential stage distribution assumptions can produce inconsistent predictions...
  12. doi request reprint Timely identification of optimal control strategies for emerging infectious diseases
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Theor Biol 259:165-71. 2009
    ..Health authorities must rely on quarantine, isolation, and other non-pharmaceutical interventions to contain outbreaks of newly emerging human diseases...
  13. doi request reprint Dynamics of a plant-herbivore-predator system with plant-toxicity
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Math Biosci 229:190-204. 2011
    ..This model can be applied to a boreal ecosystem trophic chain to examine the possible cascading effects of predator-control actions when plant species differ in their levels of toxic defense...
  14. doi request reprint Evolution of host resistance to parasite infection in the snail-schistosome-human system
    Yiding Yang
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Math Biol 65:201-36. 2012
    ..Results from this work demonstrate that the evolutionary trajectories of host-parasite interactions can be varied, and at times, counter-intuitive, based on parasite virulence, host resistance, and drug treatment...
  15. doi request reprint Interactions among virulence, coinfection and drug resistance in a complex life-cycle parasite
    Dashun Xu
    Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA
    J Theor Biol 304:197-210. 2012
    ..This calls for more empirical studies on the parasite...
  16. ncbi request reprint On the role of schistosome mating structure in the maintenance of drug-resistant strains
    Dashun Xu
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Bull Math Biol 68:209-29. 2006
    ....
  17. pmc Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility
    Libin Rong
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Theor Biol 247:804-18. 2007
    ..We show that the window of opportunity for invasion of drug resistant strains is widened for a higher level of drug efficacy provided that the treatment is not potent enough to eradicate both the sensitive and resistant virus...
  18. ncbi request reprint A spatially structured metapopulation model with patch dynamics
    Dashun Xu
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Theor Biol 239:469-81. 2006
    ..We also derive a stochastic differential equations (SDE) model of the Itô type based on our deterministic model. Our simulations reveal good agreement between the deterministic model and the SDE model...
  19. pmc Troublesome toxins: time to re-think plant-herbivore interactions in vertebrate ecology
    Robert K Swihart
    Department of Forestry and Natural Resources, Purdue University, West Lafayette, IN 47907, USA
    BMC Ecol 9:5. 2009
    ..Future ecological studies will need to address explicitly the importance of plant toxins in shaping plant and herbivore communities...
  20. ncbi request reprint A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies
    Pei Zhang
    Mathematics Department, Purdue University, West Lafayette, IN 47907, USA
    Math Biosci 205:83-107. 2007
    ..The effects of various drug treatment programs on disease control are compared in terms of both R and the mean parasite load within the human hosts...
  21. ncbi request reprint Evolutionary implications for interactions between multiple strains of host and parasite
    Pei Zhang
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    J Theor Biol 248:225-40. 2007
    ..We identify conditions that determine the evolution of parasite specialism or generalism based on the life-history strategies employed by hosts, and investigate how host strains may influence parasite persistence...
  22. ncbi request reprint On the role of schistosome mating structure in the maintenance of drug resistant strains
    Dashun Xu
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Bull Math Biol 67:1207-26. 2005
    ....
  23. pmc A deterministic model for influenza infection with multiple strains and antigenic drift
    Jorge A Alfaro-Murillo
    Department of Mathematics, Purdue University, West Lafayette, IN, USA
    J Biol Dyn 7:199-211. 2013
    ..Our approach to modelling antigenic drift is novel and further modifications of this model may help improve the understanding of complex influenza dynamics. ..
  24. ncbi request reprint The impact of school closures on pandemic influenza: Assessing potential repercussions using a seasonal SIR model
    Sherry Towers
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States
    Math Biosci Eng 9:413-30. 2012
    ..Our studies thus suggest that when heterogeneity in transmission is a significant factor, decisions of public health policy will be particularly important as to how control measures such as school closures should be implemented...
  25. doi request reprint Plant-herbivore interactions mediated by plant toxicity
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States
    Theor Popul Biol 73:449-59. 2008
    ....
  26. ncbi request reprint Merging spatial and temporal structure within a metapopulation model
    Yssa D DeWoody
    Department of Forestry and Natural Resources, Purdue University, West Lafayette, Indiana 47907 2061, USA
    Am Nat 166:42-55. 2005
    ..This model allows for an expansion of the classic definition of a patch and should prove useful when considering species inhabiting complex dynamic landscapes, for example, agricultural landscapes...
  27. ncbi request reprint Emergence of HIV-1 drug resistance during antiretroviral treatment
    Libin Rong
    Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
    Bull Math Biol 69:2027-60. 2007
    ..When more doses of drugs are missed, the failure of suppression of the wild-type virus will be observed, accompanied by a relatively slow increase in the drug-resistant viral load...
  28. ncbi request reprint Coupling ecology and evolution: malaria and the S-gene across time scales
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN 47907 1395, USA
    Math Biosci 189:1-19. 2004
    ..We analyze the slow time scale dynamics to investigate the impact of malaria on the evolution of resistance...
  29. ncbi request reprint Modeling rates of infection with transient maternal antibodies and waning active immunity: application to Bordetella pertussis in Sweden
    Zhilan Feng
    Department of Mathematics, Purdue University, West Lafayette, IN, USA
    J Theor Biol 356:123-32. 2014
    ..Our framework is sufficiently general to accommodate more realistic sojourn distributions and additional lifetime infections. ..
  30. ncbi request reprint Projection of tuberculosis incidence with increasing immigration trends
    Yicang Zhou
    Department of Mathematics, Xi an Jiaotong University, Xi an 710049, China
    J Theor Biol 254:215-28. 2008
    ....
  31. doi request reprint A schistosomiasis model with mating structure and time delay
    Carlos Castillo-Chavez
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
    Math Biosci 211:333-41. 2008
    ..However, quantitatively the time delays make it more likely for drug-resistant strains to invade in a parasite population...
  32. ncbi request reprint Cats protecting birds revisited
    Meng Fan
    School of Mathematics and Statistics and Key Laboratory for Vegetation Ecology of the Education Ministry, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, People s Republic of China
    Bull Math Biol 67:1081-106. 2005
    ..The presence of a superpredator may have a beneficial effect in such systems...
  33. pmc Emergence of drug resistance: implications for antiviral control of pandemic influenza
    Murray E Alexander
    Institute for Biodiagnostics, National Research Council Canada, Winnipeg, Manitoba, Canada
    Proc Biol Sci 274:1675-84. 2007
    ..4 emerge. While an antiviral strategy is crucial for containing a pandemic, its effectiveness depends critically on timely and strategic use of drugs...