|August 2018 - Present||Assistant Professor, Nova Southeastern University ‐ Halmos College of Natural Sciences and Oceanography, Department of Mathematics|
|October 2015 - June 2017||Postdoctoral Associate, University of Miami ‐ Department of Mathematics|
|July 2018||M.S. Applied Biostatistics, University of Miami|
|August 2015||Ph.D. Applied Mathematics, University of Miami|
|June 2009||B.S. Pure Mathematics, Nankai University|
Phase-Adjusted Estimation of the COVID-19 Outbreak in South Korea Under Multi-Source Data and Adjustment Measures: A Modelling Study Mathematical Biosciences and Engineering (2020)
Based on the reported data from February 16, 2020 to March 9, 2020 in South Korea including confirmed cases, death cases and recovery cases, the control reproduction number was estimated respectively at different control measure ...
Modeling the Importation and Local Transmission of Vector-Borne Diseases in Florida: The Case of Zika Outbreak in 2016 Journal of Theoretical Biology (2018)
Chikungunya, dengue, and Zika viruses are all transmitted by Aedes aegypti and Aedes albopictus mosquito species, had been imported to Florida and caused local outbreaks. We propose a deterministic model to study the importation and ...
Modeling and Analysis of a Nonlinear Age-Structured Model for Tumor Cell Populations with Quiescence Journal of Nonlinear Science (2018)
We present a nonlinear first-order hyperbolic partial differential equation model to describe age-structured tumor cell populations with proliferating and quiescent phases at the avascular stage in vitro. The division rate of the proliferating cells is ...
Analysis of a Dengue Model with Vertical Transmission and Application to the 2014 Dengue Outbreak in Guangdong Province, China Bulletin of Mathematical Biology (2018)
There is evidence showing that vertical transmission of dengue virus exists in Aedesmosquitoes. In this paper, we propose a deterministic dengue model with vertical transmission in mosquitoes by including aquatic mosquitoes (eggs, larvae and pupae), ...
Local and Global Stabilities of a Viral Dynamics Model with Infection-Age and Immune Response Journal of Dynamics and Differential Equations (2018)
In this paper, we construct an infection-age model to study the interaction between viruses and the immune system within the host. In the model, the mortality rate of infected cells, the rate that cytotoxic T ...
Modeling and Analyzing the Transmission Dynamics of Visceral Leishmaniasis Mathematical Biosciences and Engineering (2017)
In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission ...
Modeling and control of local outbreaks of West Nile virus in the United States Discrete and Continuous Dynamical Systems – Series B (2016)
West Nile virus (WNV) was first detected in the United States (U.S.) during an outbreak in New York City in 1999 with 62 human cases including seven deaths. In 2001, the first human case in ...
Modeling the Geographic Spread of Rabies in China PLoS Neglected Tropical Diseases (2015)
Abstract In order to investigate how the movement of dogs affects the geographically inter-provincial spread of rabies in Mainland China, we propose a multi-patch model to describe the transmission dynamics of rabies between dogs and ...
Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting SIAM Journal on Applied Mathematics (2013)
In this paper we study bifurcations in predator-prey systems with seasonal prey harvesting. First, when the seasonal harvesting reduces to constant yield, it is shown that various kinds of bifurcations, including saddle-node bifurcation, degenerate Hopf ...
Complex Dynamics in Predator-prey Models with Nonmonotonic Functional Response and Seasonal Harvesting Mathematical Modelling of Natural Phenomena (2013)
In this paper we study the complex dynamics of predator-prey systems with nonmonotonic functional response and harvesting. When the harvesting is constant-yield for prey, it is shown that various kinds of bifurcations, such as saddle-node ...
Multiple Bifurcations in a Predator-Prey System of Holling and Lesile Type with Constant-Yield Prey Harvesting International Journal of Bifurcation and Chaos (2013)
The bifurcation analysis of a predator–prey system of Holling and Leslie type with constant-yield prey harvesting is carried out in this paper. It is shown that the model has a Bogdanov–Takens singularity (cusp case) of ...
Modeling the Geographic Spread of Rabies in China Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2014)
Human rabies is one of the major public health problems in China. Dogs are the main infection source, which contributes 85%-95% of human cases in China. In the past few years, due to the dog ...
Modeling West Nile Virus Outbreaks in New York, Florida and Texas Mathematics Faculty Proceedings, Presentations, Speeches, Lectures (2014)
West Nile virus (WNV) was first detected in the United States during an outbreak in New York City in 1999, with 62 human cases including seven deaths. Since then, WNV has been declared endemic in ...