- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- COVID-19 epidemiological studies
- Nonlinear Differential Equations Analysis
- Mathematical Biology Tumor Growth
- Nonlinear Dynamics and Pattern Formation
- Viral Infections and Vectors
- Fractional Differential Equations Solutions
- Stability and Controllability of Differential Equations
- Evolutionary Game Theory and Cooperation
- Advanced Mathematical Modeling in Engineering
- Advanced Differential Equations and Dynamical Systems
- Differential Equations and Numerical Methods
- Mosquito-borne diseases and control
- Ecosystem dynamics and resilience
- Rabies epidemiology and control
- Stochastic processes and statistical mechanics
- Virology and Viral Diseases
- Antimicrobial Resistance in Staphylococcus
- Neural Networks Stability and Synchronization
- Viral Infections and Outbreaks Research
- Clostridium difficile and Clostridium perfringens research
- Numerical methods for differential equations
- Gene Regulatory Network Analysis
- Animal Disease Management and Epidemiology
University of Miami
2016-2025
Minzu University of China
2023
Sylvester Comprehensive Cancer Center
2018-2022
Case Western Reserve University
2020
Central China Normal University
1991-2019
Hubei University of Science and Technology
2016
Centre National de la Recherche Scientifique
2015
Northeast Normal University
2015
University of Wisconsin–Milwaukee
2015
Institut de Mathématiques de Bordeaux
2015
A predator-prey system with nonmonotonic functional response is considered. Global qualitative and bifurcation analyses are combined to determine the global dynamics of model. The analysis model depending on all parameters indicates that it exhibits numerous kinds phenomena, including saddle-node bifurcation, supercritical subcritical Hopf bifurcations, homoclinic bifurcation. It shown there different parameter values for which has a limit cycle or loop, so-called paradox enrichment...
The ongoing Zika virus (ZIKV) epidemic poses a major global public health emergency. It is known that ZIKV spread by \textit{Aedes} mosquitoes, recent studies show can also be transmitted via sexual contact and cases of sexually have been confirmed in the U.S., France, Italy. How transmission affects control infection not well-understood. We presented mathematical model to investigate impact mosquito-borne on used fit data Brazil, Colombia, El Salvador. Based estimated parameter values, we...
Methicillin-resistant Staphylococcus aureus (MRSA) has traditionally been associated with infections in hospitals. Recently, a new strain of MRSA emerged and rapidly spread the community, causing serious among young, healthy individuals. Preliminary reports imply that particular clone (USA300) community-acquired (CA-MRSA) is infiltrating hospitals replacing traditional hospital-acquired strains. If true, this event would have consequences, because CA-MRSA occur more debilitated, older...
This paper is concerned with the existence of travelling wave solutions in a class delayed reaction–diffusion systems without monotonicity, which concludes two-species diffusion–competition models delays. Previous methods do not apply solving these problems because reaction terms satisfy either so-called quasimonotonicity condition or non-quasimonotonicity condition. By using Schauder's fixed point theorem, new cross-iteration scheme given to establish solutions. More precisely, by such...