Mathematical study of in-host dynamics of Chlamydia trachomatis

Sharomi, Oluwaseun; Gumel, Abba B.

doi:10.1093/imamat/hxq057

Cited by 7 publications

(5 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. The global properties can be established using a Comparison Theorem [23] and the approach in [43]. The equations of the three infected components in model (6) can be expressed using matrix-vector form as…”

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%

“…It can be shown that the spectral radius of F V −1 gives the value of R 0 in (18). Furthermore, since the eigenvalues of the matrix (F − V) have negative real parts if R 0 < 1 [43,44], consequently, the linearized differential system (25) is stable whenever R 0 < 1. As a result, lim t→∞ (I H (t), I C (t), I HC (t)) → (0, 0, 0).…”

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%

See 1 more Smart Citation

Analysis of an HIV - HCV simultaneous infection model with time delay

Hassan

Hussaini

2021

J. Nig. Soc. Phys. Sci.

View full text Add to dashboard Cite

A novel mathematical delay model for simultaneous infection of HIV and hepatitis C virus is formulated and dynamically analyzed. Basic properties of the model are established and proved. Basic reproductive threshold is systematically calculated as the maximum of three subthreshold parameters. A disease free equilibrium is determined to be globally asymptotically stable for all values of the delay when the threshold is less than unity. However, when the threshold is greater than one, endemic equilibrium emerged which is shown to be locally asymptotically stable for any length of delay. Although the delay has no effect on stabilities of equilibria points, however, it is found to reduce the infectivity of the viruses as the length of the delay is increased. Epidemiological interpretations of the results and numerical simulations illustrating them are given.

show abstract

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%

Analysis of an HIV - HCV simultaneous infection model with time delay

Hassan

Hussaini

2021

J. Nig. Soc. Phys. Sci.

View full text Add to dashboard Cite

show abstract

“…This cannot be avoided, although we have been as rigorous as possible in simulating over a broad range of parameter values and including stochastic terms to ensure the dynamic nature of the observations is encompassed. Unlike previous mathematical models of chlamydia [13,18,22,23], the model presented in this study incorporates stochastic elements that samples across a broad range of parameter values, which influences realised outcomes of the model and provides some robustness to the results presented [21]. Also, we do not continue the simulations beyond the point of upwards peristalsis within the stage of the cycle, meaning the longer term implications for the longer time course of the infection have not been considered in the model.…”

Section: Plos Computational Biologymentioning

confidence: 99%

Ascension of Chlamydia is moderated by uterine peristalsis and the neutrophil response to infection

Callan

Woodcock

2021

PLoS Comput Biol

View full text Add to dashboard Cite

Chlamydia trachomatis is a common sexually transmitted infection that is associated with a range of serious reproductive tract sequelae including in women Pelvic Inflammatory Disease (PID), tubal factor infertility, and ectopic pregnancy. Ascension of the pathogen beyond the cervix and into the upper reproductive tract is thought to be necessary for these pathologies. However, Chlamydia trachomatis does not encode a mechanism for movement on its genome, and so the processes that facilitate ascension have not been elucidated. Here, we evaluate the factors that may influence chlamydial ascension in women. We constructed a mathematical model based on a set of stochastic dynamics to elucidate the moderating factors that might influence ascension of infections in the first month of an infection. In the simulations conducted from the stochastic model, 36% of infections ascended, but only 9% had more than 1000 bacteria ascend. The results of the simulations indicated that infectious load and the peristaltic contractions moderate ascension and are inter-related in impact. Smaller initial loads were much more likely to ascend. Ascension was found to be dependent on the neutrophil response. Overall, our results indicate that infectious load, menstrual cycle timing, and the neutrophil response are critical factors in chlamydial ascension in women.

show abstract

“…In [ 10 ], the researchers have described a model to test intervention strategies for Chlamydia. In [ 11 ], the authors introduced a study of the in-host structure of Chlamydia trachomatis. Akinlotan et al in [ 12 ] have modeled the play of mucosal vaccine on the within-host structure of Chlamydia disease.…”

Section: Introductionmentioning

confidence: 99%

Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019

Vellappandi¹,

Kumar

Govindaraj³

2022

Nonlinear Dyn

View full text Add to dashboard Cite

Nowadays, the mathematical modeling of infectious diseases is a big trend worldwide. The mathematical models help us to forecast future outbreaks of diseases in the presence of present data. In this article, we represent a model of the transmission of Chlamydia in the United States by using data from 1989 to 2019. In the formulation of the model, we used integer and fractional derivatives. Several graphs are plotted for the various possible cases of the given parameters. The aim of this paper is to justify how the mathematical models in terms of fractional derivatives have more degree of freedom to explore disease dynamics for a particular data set and capture memory effects. The separate parameter estimation for each value of the fractional order increases the novelty of this work. The use of a real-data set of Chlamydia in the United States makes this study more visible and important to the literature.

show abstract

Mathematical study of in-host dynamics of Chlamydia trachomatis

Cited by 7 publications

References 15 publications

Analysis of an HIV - HCV simultaneous infection model with time delay

Analysis of an HIV - HCV simultaneous infection model with time delay

Ascension of Chlamydia is moderated by uterine peristalsis and the neutrophil response to infection

Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019

Contact Info

Product

Resources

About