Related Experiment Video
Updated: Jan 24, 2026

Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
Published on: May 19, 2019
A diffusive SIS epidemic model in a heterogeneous and periodically evolvingenvironment
Li Qiong Pu1,2, Zhi Gui Lin1
1School of Mathematical Science, Yangzhou University, Yangzhou 225002, China.
Abstract:
To explore the impact of the periodic evolution in habitats on the prevention and control of the infectious disease, we consider a diffusive SIS epidemic model in a heterogeneous and periodically evolving domain. By assuming that the evolving domain is uniform and isotropic, the epidemic model in a evolving domain is converted to the reaction diffusion problem in a fixed domain. The basic reproduction number, which depends on the evolving rate of the domain and spatial heterogeneity, is defined. The driving mechanism of the model is obtained by using the principal eigenvalue and the upper and lower solutions method, and a biological explanation of the impact of regional evolution on disease is given. Our theoretical results and numerical simulations show that small evolving rate benefits the control of the infectious disease.
Related Concept Videos
Diffusion
Diffusion
The Periodic Table
Periodic Classification of the Elements
Theories of Dissolution: Diffusion Layer Model
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
Effective Value of a Periodic Waveform
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...

