Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology.

Journal of Biological Dynamics
Md KamrujjamanMd Shafiqul Islam

Abstract

In this paper, we study a more general diffusive spatially dependent vaccination model for infectious disease. In our diffusive vaccination model, we consider both therapeutic impact and nonlinear incidence rate. Also, in this model, the number of compartments of susceptible, vaccinated and infectious individuals are considered to be functions of both time and location, where the set of locations (equivalently, spatial habitats) is a subset of Rn with a smooth boundary. Both local and global stability of the model are studied. Our study shows that if the threshold level R0≤1, the disease-free equilibrium E0 is globally asymptotically stable. On the other hand, if R0>1 then there exists a unique stable disease equilibrium E∗. The existence of solutions of the model and uniform persistence results are studied. Finally, using finite difference scheme, we present a number of numerical examples to verify our analytical results. Our results indicate that the global dynamics of the model are completely determined by the threshold value R0.

References

Jan 1, 1987·Journal of Mathematical Biology·W M LiuS A Levin
Jan 1, 1986·Journal of Mathematical Biology·W M LiuY Iwasa
Dec 1, 1973·American Journal of Epidemiology·W P London, J A Yorke
Oct 21, 1984·Journal of Theoretical Biology·J L Aron, I B Schwartz
Jan 1, 1984·IMA Journal of Mathematics Applied in Medicine and Biology·D Schenzle
Jan 1, 1945·Proceedings of the National Academy of Sciences of the United States of America·E B Wilson, J Worcester
May 1, 2010·Journal of Mathematical Biology·Yijun Lou, Xiao-Qiang Zhao

❮ Previous
Next ❯

Citations

May 20, 2021·Disaster Medicine and Public Health Preparedness·Md Nazmul HassanMd Kamrujjaman

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.