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Zhilan Feng
Purdue University
EcologyDiseasePopulationMathematicsBiology
164Publications
35H-index
3,969Citations
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Publications 163
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#1Rose-Marie Carlsson (Public Health Agency of Sweden)H-Index: 4
#2Lauren M. Childs (VT: Virginia Tech)H-Index: 14
Last. Gergely Röst (University of Szeged)H-Index: 15
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Abstract Immunity following natural infection or immunization may wane, increasing susceptibility to infection with time since infection or vaccination. Symptoms, and concomitantly infectiousness, depend on residual immunity. We quantify these phenomena in a model population composed of individuals whose susceptibility, infectiousness, and symptoms all vary with immune status. We also model age, which affects contact, vaccination and possibly waning rates. The resurgences of pertussis that have ...
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#1Zhilan Feng (Purdue University)H-Index: 35
#2Katharine Gurski (UW: University of Washington)H-Index: 8
Last. M. Grogan (UT: University of Tennessee)
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Most epidemiological models for mosquito-borne disease assume exponentially distributed residence times in disease stages in order to simplify the model formulation and analysis. However, these models do not allow for accurate description of the interaction between drug concentration and pathogen load within hosts. To improve this, we formulate a model by considering arbitrarily distributed sojourn for various disease stages. The model formulation is presented using two proven equivalent approac...
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#1Henry Zhao (Princeton University)H-Index: 1
#2Zhilan Feng (Purdue University)H-Index: 35
Lockdown and social distancing restrictions have been widely used as part of policy efforts aimed at controlling the ongoing COVID-19 pandemic. Since these restrictions have a negative impact on the economy, there exists a strong incentive to relax these policies while protecting public health. Using a modified SEIR epidemiological model, this paper explores the costs and benefits associated with the sequential release of specific groups based on age and risk from isolation. The results in this ...
1 CitationsSource
#1Zhilan Feng (Purdue University)H-Index: 35
#2John W. Glasser (National Center for Immunization and Respiratory Diseases)H-Index: 20
Last. Andrew N. HillH-Index: 11
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Abstract The many variations on a graphic illustrating the impact of non-pharmaceutical measures to mitigate pandemic influenza that have appeared in recent news reports about COVID-19 suggest a need to better explain the mechanism by which social distancing reduces the spread of infectious diseases. And some reports understate one benefit of reducing the frequency or proximity of interpersonal encounters, a reduction in the total number of infections. In hopes that understanding will increase c...
2 CitationsSource
#1Henry Zhao (Princeton University)
#2Zhilan FengH-Index: 35
Last. Simon A. LevinH-Index: 111
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Strong social distancing restrictions have been crucial to controlling the COVID-19 outbreak thus far, and the next question is when and how to relax these restrictions. A sequential timing of relaxing restrictions across groups is explored in order to identify policies that simultaneously reduce health risks and economic stagnation relative to current policies. The goal will be to mitigate health risks, particularly among the most fragile sub-populations, while also managing the deleterious eff...
#1Zhilan Feng (Purdue University)H-Index: 35
#2Yejuan Feng (Beijing University of Civil Engineering and Architecture)
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Abstract Because demographic realism complicates analysis, mathematical modelers either ignore demography or make simplifying assumptions (e.g., births and deaths equal). But human populations differ demographically, perhaps most notably in their mortality schedules. We developed an age-stratified population model with births, deaths, aging and mixing between age groups. The model includes types I and II mortality as special cases. We used the gradient approach (Feng et al., 2015, 2017) to explo...
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#1Henry Zhao (Princeton University)H-Index: 1
#2Zhilan Feng (Purdue University)H-Index: 35
Vaccination is among the most effective means of preventing and controlling infectious disease outbreaks. Mathematical models can be used to identify the optimal allocation of vaccine among various...
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#1Xiaojing Wang (Beijing University of Civil Engineering and Architecture)H-Index: 1
#2Yangyang Shi (Beijing University of Civil Engineering and Architecture)H-Index: 1
Last. Zhilan Feng (Beijing University of Civil Engineering and Architecture)H-Index: 35
view all 4 authors...
One of the unique features of bacterial diseases such as pertussis is the possibility of multiple infections during a lifetime. Immunity gained after each infection may play an important role in disease transmission dynamics. A PDE model with two infections for pertussis was considered in Feng et al. (J Theor Biol 356:123–132, 2014) and applied to the Swedish population to estimate the age-dependent probability of infection on contact. However, no detailed analysis of the dynamic properties of t...
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#1Kyle Dahlin (Purdue University)
#2Zhilan Feng (Purdue University)H-Index: 35
Abstract Avian malaria is a mosquito-borne parasitic disease of birds caused by protists of the genera Plasmodium, most notably Plasmodium relictum. This disease has been identified as a primary cause of the drastic decline and extinctions of birds, in particular Hawaiian honeycreepers (Drepanidinae), where rates of mortality may exceed 90%. We formulate an epizootiological model of the transmission dynamics of avian malaria between populations of bird hosts and mosquito vectors using a system o...
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