Search arXivSearch

arXiv · 2309.00981

A mathematical model for understanding and controlling monkeypox transmission dynamics in the United States and its implications for future epidemic management

Abstract

Background: Although the outbreak of human monkeypox (mpox) caused by the monkeypox virus (MPXV) has slowed down around the world, little is known about the short-term dynamics of this disease. This limited information highlights the critical need to assess the underlying interventions. Method: To identify and re-examine the key pattern of the disease, a modified logistic growth model is presented and analysed in this paper. Our main focus is on the two non-pharmaceutical interventions: policies aimed at reducing human-to-human transmission and animal-to-human transmission. We incorporated these two strategies in the model as control parameters to understand their short-term significance on the epidemic, and to analyse their strengths in minimizing the infected cases. We used mpox data set of the United States from 10 May 2022 to 31 December 2022 in the model and estimated the baseline parameters. Results: The model reveals a complying acceptance to the US data set. Model simulations highlight that preventive measures could play important roles in controlling the deadly spread of the disease in the year of 2022. During the transmission period, better outcomes could have been possible to achieve in the US if both controls were brought to action simultaneously. Conclusion: Our study reflects that continuous application of the preventive strategies might be an effective tool to prevent the short-term outbreak of mpox or similar diseases. Moreover, such strategies could play supporting roles during pre- and post-vaccination periods.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Md. Azmir Ibne Islam, M H M Mubassir, Arindam Kumar Paul, Sharmin Sultana Shanta. 2024-11-23. A mathematical model for understanding and controlling monkeypox transmission dynamics in the United States and its implications for future epidemic management. https://doi.org/10.1016/j.dcit.2024.100031

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Pivoting technique for the circle homeomorphism group

We adapt Gou{ë}zel's pivoting technique to the circle homeomorphism group. As an application, we give different proofs of Gilabert Vio's probabilistic Tits alternative and Malicet's exponential synchronization.

math.DS

Asymmetry of a class of Mellin transforms

We introduce the quantity $μ_η$, defined for every complex $s$ in the critical strip, as a transformation of the Mellin transform associated to the functions $η$. We establish a sufficient condition on $η$ under which $μ_η(s)$ and $μ_η(1-s)$ cannot both vanish outside the critical line. An application is given to the case in which $η$ is the fractional part function, and the zeros of $μ_η$ coincide with the zeros of the Riemann zeta function.

math.DS

Infinite Set of Resonances in the Linear Damped Oscillator Subject to Harmonic Forcing with Non-standard Frequency Modulation

It is shown that harmonic signals incorporating a type of weak non-standard frequency modulation (wNSFM) have interesting spectral properties, namely, time-dependent bandwidths that become increasingly broader with increasing time. As such, they represent a class of signals with frequency-time coupling in their spectra. Specifically, the weakly damped oscillator exhibits always two transient resonance captures involving two distinct harmonics possessing relatively high amplitudes over finite time intervals, while the overall response decays as $~t^{-1/2}$ as $t\rightarrow\infty$. Considering the undamped oscillator, it possesses two types of resonances, referred to as simple and non-simple resonances. Simple resonances correspond to finite-amplitude steady-state responses caused by two sustained resonance captures, in the form of two distinct modulated quasi-periodic responses, which, however are "activated" at different time instances. The necessary and sufficient conditions for non-simple resonances are given in the form of a theorem which predicts the existence of resonant harmonics and specifies the special phase conditions that the resonant harmonics must satisfy for constructive interference; the resulting undamped non-simple resonance grows unboundedly as $~t^{-1/2}$ as $t\rightarrow\infty$, in contrast to the classical resonance growth of the linear resonator with unmodulated harmonic excitation whose response grows as $~t$ as $t\rightarrow\infty$. These resonant responses are persistent to changes in the parameters of the wNSFM. Our results reveal interesting infinite sets of resonances in linear SDOF resonators under frequency-modulated excitations.

math.DS