Kai Wang

ORCID: 0000-0002-9399-5961
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About
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Research Areas
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Evolution and Genetic Dynamics
  • COVID-19 epidemiological studies
  • Homotopy and Cohomology in Algebraic Topology
  • Fractional Differential Equations Solutions
  • Advanced Topics in Algebra
  • Mathematical Biology Tumor Growth
  • Algebraic structures and combinatorial models
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Numerical Methods
  • Stochastic processes and statistical mechanics
  • Geometric and Algebraic Topology
  • Spectral Theory in Mathematical Physics
  • Insect symbiosis and bacterial influences
  • Numerical methods for differential equations
  • Evolutionary Game Theory and Cooperation
  • Differential Equations and Boundary Problems
  • Numerical methods in inverse problems
  • Nonlinear Waves and Solitons
  • Viral Infections and Vectors
  • Animal Disease Management and Epidemiology
  • Geometry and complex manifolds
  • Mosquito-borne diseases and control
  • Nonlinear Photonic Systems
  • Viral Infections and Immunology Research

Nanjing University of Aeronautics and Astronautics
2015-2025

Anhui Medical University
2025

First Affiliated Hospital of Anhui Medical University
2025

Ministry of Industry and Information Technology
2022-2024

University of Alberta
2022-2024

Xinjiang Medical University
2015-2024

Guangzhou University
2024

Nanjing University of Posts and Telecommunications
2023-2024

China Academy of Urban Planning and Design
2024

Huazhong University of Science and Technology
2024

<abstract> <p>The coronavirus disease 2019 (COVID-2019), a newly emerging in China, posed public health emergency of China. Wuhan is the most serious affected city. Some measures have been taken to control transmission COVID-19. From Jan. 23rd, 2020, gradually increasing medical resources (such as workforce, protective clothing, essential medicines) were sent from other provinces, and government has established hospitals quarantine treat infected individuals. Under condition...

10.3934/mbe.2020165 article EN cc-by Mathematical Biosciences & Engineering 2020-01-01

10.1016/j.aml.2019.01.015 article EN publisher-specific-oa Applied Mathematics Letters 2019-01-28

Hepatitis B is an infectious disease caused by the hepatitis virus (HBV) which affects livers. In this paper, we formulate a model to study transmission dynamics of in Xinjiang, China. The epidemic involves exponential birth rate and vertical transmission. For better understanding HBV dynamics, analyze dynamic behavior model. modified reproductive number σ obtained. When < 1, disease-free equilibrium locally asymptotically stable, when > unstable uniformly persistent. simulation, parameters...

10.1371/journal.pone.0138765 article EN cc-by PLoS ONE 2015-09-30

Objective: Emotion dysregulation is one of the core causes non-suicidal self-injury (NSSI). However, little known about effects emotion regulation and rumination on NSSI behaviors in adolescents with depressive disorder. Methods: In total, 1782 depressed (1464 females 318 males) completed questionnaires rumination, regulation, NSSI, an average age 14.85. Participants were recruited from outpatient inpatient wards 14 hospitals across country. Results: behavior frequency was positively...

10.2147/prbm.s483267 article EN cc-by-nc Psychology Research and Behavior Management 2025-02-01

.In this paper, we formulate susceptible-infected-susceptible reaction-diffusion epidemic models with cognition and show the impact of movement strategies on disease outbreak mitigation under a spatially heterogeneous environment. The cognitive diffusion either takes Fokker–Planck type obtained by Chapman's law (called random diffusion) or follows Fick's symmetric diffusion). We derive variational expression basic reproduction number \(\mathcal{R}_0\) for both prove that disease-free...

10.1137/22m1485814 article EN SIAM Journal on Applied Mathematics 2022-10-13

ABSTRACT Bacterial endosymbionts play important roles in the life histories of herbivorous insects by impacting their development, survival, reproduction, and stress tolerance. How may affect interactions between plants insect herbivores is still largely unclear. Here, we show that endosymbiotic Rickettsia belli can provide mutual benefits also outside hosts when sap-sucking whitefly Bemisia tabaci transmits them to plants. This transmission facilitates spread but shown enhance performance...

10.1128/mbio.02448-23 article EN cc-by mBio 2024-02-05

In this paper, we investigate the global threshold dynamics of a stochastic SIS epidemic model incorporating media coverage. We give basic reproduction number $\mathcal{R}_{0}^{s}$ and establish theorem by Feller's test: if $\mathcal{R}_{0}^{s}\leq 1$ , disease will die out a.s.; $\mathcal{R}_{0}^{s}>1$ persist a.s. case prove existence, uniqueness, asymptotic stability invariant density Fokker–Planck equations associated with model. Via numerical simulations, find that average extinction...

10.1186/s13662-018-1925-z article EN cc-by Advances in Difference Equations 2018-12-01

Abstract This paper is concerned with a spatially heterogeneous vector‐borne disease model that follows the Fokker–Planck‐type diffusion law. One of significant features in our used to characterize individual movement, which poses new challenges theoretical analysis. We derive for first time variational characterization basic reproduction ratio under certain conditions and investigate its asymptotic profiles respect rates. Furthermore, via overcoming difficulty associated elliptic eigenvalue...

10.1111/sapm.12676 article EN Studies in Applied Mathematics 2024-02-20

10.1016/j.physa.2019.04.053 article EN Physica A Statistical Mechanics and its Applications 2019-04-12
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