Research Topics
 Zhilan FengSummaryAffiliation: Purdue University Country: USA Publications
 Collaborators

Detail Information
Publications
 Pandemic H1N1 influenza: predicting the course of a pandemic and assessing the efficacy of the planned vaccination programme in the United StatesS Towers
Department of Statistics, Purdue University, West Lafayette, Indiana, USA
Euro Surveill 14:19358. 2009....  Spatially heterogeneous invasion of toxic plant mediated by herbivoryZhilan Feng
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Math Biosci Eng 10:151938. 2013..Under certain conditions it is shown that, for the spatially homogeneous system all solutions will converge to the equilibrium E2, whereas for the reactiondiffusion model there exist traveling wave solutions connecting E1 and E2. ..  Modeling the synergy between HSV2 and HIV and potential impact of HSV2 therapyZhilan 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 245:17187. 2013..Most importantly, we illustrate that the aforementioned aspects of the population dynamics can be significantly influenced by the sexual structure of the population. ..  A mathematical model for coupling withinhost and betweenhost dynamics in an environmentallydriven infectious diseaseZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, Indiana, USA
Math Biosci 241:4955. 2013..We show that these reproduction numbers determine the stability of the infectionfree and the endemic equilibrium points. Our model may present a socalled backward bifurcation...  Schistosomiasis models with density dependence and age of infection in snail dynamicsZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907 1395, USA
Math Biosci 177:27186. 2002..Evaluations of costeffectiveness are also discussed by analyzing the sensitivity of the mean number of parasites per person to changes of other parameters...  Final and peak epidemic sizes for SEIR models with quarantine and isolationZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Math Biosci Eng 4:67586. 2007....  The influence of infectious diseases on population geneticsZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907
Math Biosci Eng 3:46783. 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...  Coexistence in a metapopulation model with explicit local dynamicsZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907
Math Biosci Eng 1:13145. 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...  Epidemiological models with nonexponentially distributed disease stages and applications to disease controlZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Bull Math Biol 69:151136. 2007..Numerical simulations suggest that models that assume exponential and nonexponential stage distribution assumptions can produce inconsistent predictions...  Modeling the effects of vaccination and treatment on pandemic influenzaZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, Indiana 47906, USA
AAPS J 13:42737. 2011..Particularly, the models can help identify potential adverse effects of vaccination and drug treatment in the case of pandemic influenza...  The influence of drug treatment on the maintenance of schistosome genetic diversityZ Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Math Biol 43:5268. 2001....  Dynamics of a plantherbivorepredator system with planttoxicityZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Math Biosci 229:190204. 2011..This model can be applied to a boreal ecosystem trophic chain to examine the possible cascading effects of predatorcontrol actions when plant species differ in their levels of toxic defense...  Timely identification of optimal control strategies for emerging infectious diseasesZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Theor Biol 259:16571. 2009..Health authorities must rely on quarantine, isolation, and other nonpharmaceutical interventions to contain outbreaks of newly emerging human diseases...  Evolution of host resistance to parasite infection in the snailschistosomehuman systemYiding Yang
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Math Biol 65:20136. 2012..Results from this work demonstrate that the evolutionary trajectories of hostparasite interactions can be varied, and at times, counterintuitive, based on parasite virulence, host resistance, and drug treatment...  Interactions among virulence, coinfection and drug resistance in a complex lifecycle parasiteDashun Xu
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA
J Theor Biol 304:197210. 2012..This calls for more empirical studies on the parasite...  On the role of schistosome mating structure in the maintenance of drugresistant strainsDashun Xu
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Bull Math Biol 68:20929. 2006....  Modeling withinhost HIV1 dynamics and the evolution of drug resistance: tradeoffs between viral enzyme function and drug susceptibilityLibin Rong
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Theor Biol 247:80418. 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...  Troublesome toxins: time to rethink plantherbivore interactions in vertebrate ecologyRobert 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...  A spatially structured metapopulation model with patch dynamicsDashun Xu
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Theor Biol 239:46981. 2006..We also derive a stochastic differential equations (SDE) model of the ItÃ´ type based on our deterministic model. Our simulations reveal good agreement between the deterministic model and the SDE model...  Evolutionary implications for interactions between multiple strains of host and parasitePei Zhang
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
J Theor Biol 248:22540. 2007..We identify conditions that determine the evolution of parasite specialism or generalism based on the lifehistory strategies employed by hosts, and investigate how host strains may influence parasite persistence...  A schistosomiasis model with an agestructure in human hosts and its application to treatment strategiesPei Zhang
Mathematics Department, Purdue University, West Lafayette, IN 47907, USA
Math Biosci 205:83107. 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...  On the role of schistosome mating structure in the maintenance of drug resistant strainsDashun Xu
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Bull Math Biol 67:120726. 2005....  A deterministic model for influenza infection with multiple strains and antigenic driftJorge A AlfaroMurillo
Department of Mathematics, Purdue University, West Lafayette, IN, USA
J Biol Dyn 7:199211. 2013..Our approach to modelling antigenic drift is novel and further modifications of this model may help improve the understanding of complex influenza dynamics. ..  The impact of school closures on pandemic influenza: Assessing potential repercussions using a seasonal SIR modelSherry Towers
Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States
Math Biosci Eng 9:41330. 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...  Mathematical models of EbolaConsequences of underlying assumptionsZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA Electronic address
Math Biosci 277:89107. 2016..Control and basic reproduction numbers for all three models are derived and shown to provide threshold conditions for outbreak control and prevention. ..  Evaluating targeted interventions via metapopulation models with multilevel mixingZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN, United States
Math Biosci . 2016..Such applications inspire confidence in the reliability of metapopulation modeling in support of public health policymaking...  An elaboration of theory about preventing outbreaks in homogeneous populations to include heterogeneity or preferential mixingZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN, USA
J Theor Biol 386:17787. 2015..Finally, we propose the vector of partial derivatives of this reproduction number with respect to the subpopulation immunities as a fundamentally new tool for targeting vaccination efforts. ..  Plantherbivore interactions mediated by plant toxicityZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States
Theor Popul Biol 73:44959. 2008....  Merging spatial and temporal structure within a metapopulation modelYssa D DeWoody
Department of Forestry and Natural Resources, Purdue University, West Lafayette, Indiana 47907 2061, USA
Am Nat 166:4255. 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...  A model for the coupled disease dynamics of HIV and HSV2 with mixing among and between gendersChristina Alvey
Department of Mathematics, Purdue University, 150 N University Street, West Lafayette, IN 47907, USA Electronic address
Math Biosci 265:82100. 2015..We conclude that homosexual transmission drastically changes the disease prevalences; hence, it is important to account for this interaction as models that ignore homosexuality may greatly underestimate the disease burden. ..  Emergence of HIV1 drug resistance during antiretroviral treatmentLibin Rong
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Bull Math Biol 69:202760. 2007..When more doses of drugs are missed, the failure of suppression of the wildtype virus will be observed, accompanied by a relatively slow increase in the drugresistant viral load...  Modeling rates of infection with transient maternal antibodies and waning active immunity: application to Bordetella pertussis in SwedenZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN, USA
J Theor Biol 356:12332. 2014..Our framework is sufficiently general to accommodate more realistic sojourn distributions and additional lifetime infections. ..  Coupling ecology and evolution: malaria and the Sgene across time scalesZhilan Feng
Department of Mathematics, Purdue University, West Lafayette, IN 47907 1395, USA
Math Biosci 189:119. 2004..We analyze the slow time scale dynamics to investigate the impact of malaria on the evolution of resistance...  Projection of tuberculosis incidence with increasing immigration trendsYicang Zhou
Department of Mathematics, Xi an Jiaotong University, Xi an 710049, China
J Theor Biol 254:21528. 2008....  A schistosomiasis model with mating structure and time delayCarlos CastilloChavez
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
Math Biosci 211:33341. 2008..However, quantitatively the time delays make it more likely for drugresistant strains to invade in a parasite population...  Cats protecting birds revisitedMeng 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 67:1081106. 2005..The presence of a superpredator may have a beneficial effect in such systems...  Emergence of drug resistance: implications for antiviral control of pandemic influenzaMurray E Alexander
Institute for Biodiagnostics, National Research Council Canada, Winnipeg, Manitoba, Canada
Proc Biol Sci 274:167584. 2007..4 emerge. While an antiviral strategy is crucial for containing a pandemic, its effectiveness depends critically on timely and strategic use of drugs...