Abstract
This study is concerned \textcolor{red}{with finding} the numerical solution of delay epidemic model with diffusion which is not a simple task as variables involved in the model exhibit some important physical features. Therefore we design an efficient numerical scheme which preserves the properties acquired by the given system. We also develop forward Euler technique for delayed epidemic reaction-diffusion model. The proposed numerical technique is also compared with the forward Euler technique and observe that forward Euler technique demonstrates the false behavior at certain step sizes. On the other hand, proposed technique preserves the true behavior of the continuous system at all step sizes. Furthermore, the effect of delay factor is discussed graphically by using proposed technique.
Highlights
One of the greatest threats that the world is facing is Human Immunodeficiency Virus (HIV) and its development into Acquired Immune Deficiency Syndrome (AIDS)
We have proposed the use of the delay epidemic model of HIV/AIDS dynamics with diffusion and applied two numerical techniques to assess the behavior of the solution of the continuous reaction–diffusion system with a delay factor
The reaction– diffusion delayed HIV/AIDS epidemic model revealed a positive solution as the variables involved were the population sizes
Summary
One of the greatest threats that the world is facing is Human Immunodeficiency Virus (HIV) and its development into Acquired Immune Deficiency Syndrome (AIDS). Various researchers have pointed out the difficulties and discrepancies in the classical models They improved the existing models by introducing some key facts, such as diffusion, the time delay, and other related factors. It is matter of fact that an individual moves in the community due to many reasons, and so the diffusion term in the model with delay factor is better to use for this study of disease dynamics [16,17,18,19]. Thieme and Zhao investigated a reaction diffusion model with delay and studied the spatial spread of the epidemic disease. They found the traveling wave solutions and propagation speed [20,21,22]. Education about a certain disease, i.e., precautions and safety measures for a specific disease, may result in slowing the communication of the disease and may act as a delay factor
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
