A5001800017- Mathematical and Theoretical Epidemiology and Ecology Models
- COVID-19 epidemiological studies
- COVID-19 Pandemic Impacts
- Evolution and Genetic Dynamics
- SARS-CoV-2 and COVID-19 Research
- Nonlinear Dynamics and Pattern Formation
- Plant Pathogens and Fungal Diseases
- Advanced Thermodynamics and Statistical Mechanics
- Plant responses to elevated CO2
- Animal Behavior and Reproduction
- Mathematical Biology Tumor Growth
- COVID-19 and Mental Health
- Mycorrhizal Fungi and Plant Interactions
- Infection Control and Ventilation
Yunnan University
2023-2025
Minzu University of China
2021-2023
Lanzhou University
2021
Abstract To model the COVID-19 infection and develop effective control measures, this paper proposes an SEIR-type epidemic considering impact of face-mask wearing vaccination. Firstly, reproduction number threshold conditions are obtained. Secondly, based on data South Korea from January 20, 2022 to March 21, 2022, parameters estimated. Finally, a sensitivity analysis numerical study conducted. The results show that is associated with $$83\%$$ <mml:math...
In many nations, efforts to prevent and control COVID-19 have been significantly impeded by the SARS-CoV-2 virus ongoing mutation. The Omicron strain, a more recent prevalent has had significant detrimental effects in countries worldwide. To investigate impact of BA.2 strain on vaccine efficacy, we proposed model with vaccination immunological decline this research. Then, fitted our based number daily new instances reported government Jilin Shanghai, China. We estimated effective...
In this paper, we introduce Allee effect and predator competition in the Bazykin’s model with Holling I functional response. Theoretically, analyze existence stability of equilibria, derive conditions saddle-node bifurcation Hopf bifurcation. addition, order to determine limit cycles, explicitly calculate first Lyapunov coefficient prove that positive equilibrium is not a center, but weak focus multiplicity at least two. Therefore, system has Bautin two cycles. Our results indicate lead...
Vaccination is an effective way to prevent the spread of infectious diseases. In this study, we formulate a VSEIR mathematical model explore effects vaccination rate, vaccine efficacy, and immune decline on COVID-19 transmission. The existence stability criteria equilibrium states were determined by analyzing model. Model analysis was performed. One interesting phenomena involved in issue that diseases may or not die out when basic reproduction number falls below unity (i.e., backward...
<abstract> <p>In this paper, an SIR model with a strong Allee effect and density-dependent transmission is proposed, its characteristic dynamics are investigated. The elementary mathematical of the studied, including positivity, boundedness existence equilibrium. local asymptotic stability equilibrium points analyzed using linear analysis. Our results indicate that not only determined basic reproduction number ${R_0}$. If ${R_0} &lt; 1$, there three disease-free points,...
In this paper, a predator-prey model with nonlinear harvesting of prey is studied, and the impact rate on ecosystem evaluated. By selecting as control parameter, optimal established. Moreover, using Pontryagin maximum principle to transform problem into Hamiltonian system, analytical expression obtained. Numerical simulation performed by pseudo-spectral method, results show that reasonable can achieve win-win scenario both economically ecologically.
Abstract The COVID-19, which belongs to the family of Coronaviridae and is large-scale outbreak in whole world, a public health emergency for human beings brings some very harmful consequences social economic fields. In order modelling COVID-19 develop efficient control method corresponding contacting distance, this paper proposes an SEIR-type epidemic model with distance between healthy individuals asymptomatic or symptomatic infected individuals, immigration rate since are two critical...
Abstract The COVID-19, which belongs to the family of Coronaviridae and is large-scale outbreak in whole world, a public health emergency for human beings brings some very harmful consequences social economic fields. In order modelling COVID-19 develop efficient control method corresponding contacting distance, this paper proposes an SEIR-type epidemic model with distance between healthy individuals asymptomatic or symptomatic infected individuals, immigration rate since are two critical...