Mathematical Modeling of the Infectious Diseases and Their Controls
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 31 October 2024 | Viewed by 14124
Special Issue Editor
Special Issue Information
Dear Colleagues,
The mathematical modeling of infectious diseases and the mitigating effects of controls implemented by humans is of great importance for public health. There are many existing and newly emerging diseases that continuously affect the population through infections and deaths. Mathematical and statistical modeling is a great tool to study such infectious diseases and to determine their complex behavior. Further, potential controls can be measured in line with biological or clinical suggestions, making it possible to determine the optimal cost-effective controls that should be used to curtail these diseases. Infectious diseases are disorders usually caused by an organism, such as fungi, bacteria, viruses, or parasites, and are the leading causes of death in humans. Researchers and health authorities are continuously working to reduce the spread of the disease and to prevent their transmission amongst the population, yet there are many diseases that need further study to reduce their spread. From a mathematical point of view, models in the form of mathematical formulae or statistical models are widely used to study infectious diseases. In recent eras, researchers have developed novel methods to create infectious diseases models via differential or difference equations. Usually, researchers study and analyze the disease models in the form of ordinary differential equations, partial differential equations (age-structured models, etc.,) stochastic differential equations, and/or delay differential equations. Besides this, the infectious diseases models have also been studied using fractional derivatives, fractal–fractional operators, etc. The main focus of this Special Issue is to model and analyze various infectious disease models of a complex nature and provide useful recommendations about ways to control and, hopefully, eliminate them. Further, it will contain articles that aim to develop new algorithms or techniques to solve models based on the differential equations. We would like to invite authors to contribute to this Special Issue by submitting original and novel research papers regarding the modeling and simulation of infectious diseases.
Potential topics to be included in this Special Issue consist of, but are not limited to, the following:
- Modeling with ordinary differential equations, or difference equations;
- Modeling with partial differential equations;
- Modeling with stochastic differential equations;
- Modeling with delay differential equations;
- Modeling the disease with fuzzy differential equations (ODE and Pde types);
- Modeling with fractional differential equations;
- Modeling with fractal–fractional differential equations;
- Modeling with fractal derivatives;
- Modeling with neural networks;
- Comparison of the numerical technique for the solution of the disease models for integer-order and non-integer orders;
- Modeling with optimal controls (integer and noninteger orders);
Please note that all submission should full in the scope of Symmetry Journal.
Dr. Muhammad Altaf Khan
Guest Editor
Manuscript Submission Information
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Keywords
- mathematical modeling
- infectious diseases
- optimal controls
- fractional operators
- numerical methods
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