The role of delay in vaccination rate on Covid-19 DOI Creative Commons
Mohammed Salman, Sanjay Kumar Mohanty, Chittaranjan Nayak

et al.

Heliyon, Journal Year: 2023, Volume and Issue: 9(10), P. e20688 - e20688

Published: Oct. 1, 2023

The role of vaccination in tackling Covid-19 and the potential consequences a time delay rate are discussed. This study presents mathematical model that incorporates parameters related to presence absence context Covid-19. We conducted on global dynamics outbreak model, which vaccinated population parameter. Our findings demonstrate stability these models. observation indicates lower rates associated with an increase overall number infected individuals. corresponding is determined by value If parameter less than critical at Hopf bifurcation occurs, stable. results supported numerical illustrations have epidemiological relevance.

Language: Английский

Mathematical modeling and dynamical observations of HIV/AIDS transmission under the role of antiretroviral treatment DOI
Muhammad Asad Ullah, Nauman Raza, Parvaiz Ahmad Naik

et al.

Computer Methods in Biomechanics & Biomedical Engineering, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 15

Published: May 4, 2025

The Human Immunodeficiency Virus (HIV) attacks particular immune system cells such as Tcells (primarily CD+4T cells) and triggers lifetime severe sickness with a prolonged incubation period. This study develops analyzes novel mathematical model to understand the spread of virus, using real-world data reported cases in Taiwan from 2000 2023. properties model, existence, uniqueness, positivity, boundedness, are rigorously examined ensure reliability. Equilibrium points determined, their stability is analyzed long-term behavior disease. fundamental reproduction number obtained next generation approach. Sensitivity analysis performed different variables response functions each time, employing Latin Hypercube Sampling Partial Rank Correlation Coefficient 200 iterations. Theoretical results validated numerical simulations graphically display impacts parameters. Results indicate that reducing contact infected individuals accelerating disease management interventions can significantly lower burden infection.

Language: Английский

Citations

0
Ergodic stationary distribution and extinction of stochastic pertussis model with immune and Markov switching DOI Creative Commons
Chen Jia, Yuming Chen,

Qimin Zhang

et al.

Electronic Research Archive, Journal Year: 2025, Volume and Issue: 33(5), P. 2736 - 2761

Published: Jan. 1, 2025

Language: Английский

Citations

0
Numerical Simulation of Nonlinear Stochastic Analysis for Measles Transmission: A Case Study of a Measles Epidemic in Pakistan DOI Creative Commons
Bing Guo, Asad Khan, Anwarud Din

et al.

Fractal and Fractional, Journal Year: 2023, Volume and Issue: 7(2), P. 130 - 130

Published: Jan. 30, 2023

This paper presents a detailed investigation of stochastic model that rules the spreading behavior measles virus while accounting for white noises and influence immunizations. It is hypothesized perturbations are nonlinear, person may lose resistance after vaccination, implying vaccination might create temporary protection against disease. Initially, deterministic formulated, then it has been expanded to system, well-founded both theoretically practically viable by demonstrating global solution, which positive stochastically confined. Next, we infer adequate criteria disease’s elimination permanence. Furthermore, presence stationary distribution examined developing an appropriate Lyapunov function, wherein noticed disease will persist R0s>1 illness vanish from community when R0s<1. We tested accessible data in Pakistan during first ten months 2019, using conventional curve fitting methods values parameters were calculated accordingly. The obtained employed running model, conceptual findings research evaluated simulations conclusions made. Simulations imply that, order fully understand dynamic epidemic, time-delay must be included such analyses, advancements every vaccine campaign inevitable control

Language: Английский

Citations

9
Stochastic dual epidemic hypothesis model with Ornstein-Uhlenbeck process: Analysis and numerical simulations with SARS-CoV-2 variants DOI
Zhenfeng Shi, Daqing Jiang,

Jing Fu

et al.

Journal of Mathematical Analysis and Applications, Journal Year: 2024, Volume and Issue: 535(2), P. 128232 - 128232

Published: Feb. 15, 2024

Language: Английский

Citations

3
Numerical assessment of multiple vaccinations to mitigate the transmission of COVID-19 via a new epidemiological modeling approach DOI Creative Commons
Yuzhen Wang,

Samreen Samreen,

Saif Ullah

et al.

Results in Physics, Journal Year: 2023, Volume and Issue: 52, P. 106889 - 106889

Published: Aug. 22, 2023

Vaccines play a crucial role in mitigating the transmission of COVID-19. The primary objective COVID-19 vaccination campaigns is to induce immunity individuals, thereby reducing risk infection, severe illness, and subsequent within communities. present study mainly focuses on examining impact multiple vaccinations reduction dynamics using new epidemic modeling approach. vaccinated individuals are divided into three subclasses according their status. primary, secondary booster shots vaccines considered construction model. Initially, model constructed classical integer order differential equations basic necessary properties carried out. Furthermore, utilizing fractional fractal-fractional epidemiological approach with an exponential kernel, extended these operators provide insights potential benefits this strategy controlling spread disease. uniqueness existence criteria models presented efficient numerical solution investigated modified Adams–Bashforth method. both (memory index) fractal parameters demonstrated graphically for R0<1 R0>1 showing converges trajectories disease-free endemic steady states respectively. Moreover, we examine various rates (first second dose, short) mitigation disease incidence.

Language: Английский

Citations

7
A Stochastic Model to Assess the Epidemiological Impact of Vaccine Booster Doses on COVID-19 and Viral Hepatitis B Co-Dynamics with Real Data DOI Open Access
Andrew Omame, Mujahid Abbas, Dumitru Bǎleanu

et al.

Computer Modeling in Engineering & Sciences, Journal Year: 2023, Volume and Issue: 138(3), P. 2973 - 3012

Published: Dec. 19, 2023

A patient co-infected with COVID-19 and viral hepatitis B can be at more risk of severe complications than the one infected a single infection. This study develops comprehensive stochastic model to assess epidemiological impact vaccine booster doses on co-dynamics COVID-19. The is fitted real data from Pakistan. proposed incorporates logistic growth saturated incidence functions. Rigorous analyses using tools calculus, are performed appropriate conditions for existence unique global solutions, stationary distribution in sense ergodicity disease extinction. threshold estimated fitting given by: . Numerical assessments implemented illustrate double-dose vaccination functions dynamics both diseases. effects white noise intensities also highlighted.

Language: Английский

Citations

7
Computational investigation of stochastic Zika virus optimal control model using Legendre spectral method DOI Creative Commons
Jun‐Jie Zhu, Feroz Khan, Sami Ullah Khan

et al.

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: Aug. 5, 2024

Abstract This study presents a computational investigation of stochastic Zika virus along with optimal control model using the Legendre spectral collocation method (LSCM). By accumulation stochasticity into through proposed differential equations, we appropriating random fluctuations essential in progression and disease transmission. The stability, convergence accuracy properties LSCM are conscientiously analyzed also demonstrating its strength for solving complex epidemiological models. Moreover, evaluates various strategies, such as treatment, prevention treatment pesticide control, identifies combinations that intervention costs minimize infection rates. basic given model, reproduction number, were determined without presence strategies. For $$R_0<0$$ R 0 < , satisfies disease-free equilibrium, this case die out after some time, while $$R_0>1$$ > 1 then endemic equilibrium is satisfied, spread population at higher scale. fundamental findings acknowledge significant impact phonemes on robustness effectiveness strategies accelerating need cost-effective multi-faceted approaches. In last results provide valuable insights public health department to enabling more impressive mitigation outbreaks management real-world scenarios.

Language: Английский

Citations

2
A study of stochastically perturbed epidemic model of HPV infection and cervical cancer in Indian female population DOI

T.A. Midhun,

K. Murugesan

Mathematics and Computers in Simulation, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 1, 2024

Language: Английский

Citations

2
Existence trajectory and optimal control of Clarke subdifferential stochastic integrodifferential inclusions suffered by non-instantaneous impulses and deviated arguments DOI Creative Commons

K. Ramkumar,

K. Ravikumar,

Dimplekumar Chalishajar

et al.

Results in Control and Optimization, Journal Year: 2023, Volume and Issue: 13, P. 100295 - 100295

Published: Sept. 22, 2023

In this article, the solvability, Trajectory(T-) and optimal controllability of stochastic integrodifferential inclusions with Clarke subdifferential along deviated arguments Poisson jumps are analyzed which new untreated topics in literature. The theory resolvent operators, analysis, semigroup a multivalued fixed point theorem used to prove solvability proposed non-instantaneous impulsive inclusion Hilbert space. addition, strongest notion called T-controllability system is determined using generalized Gronwall inequality some appropriate assumptions. Following that, we derive existence control problem Balder's theorem. A numerical example given validate theoretical aspects. We study simulation challenges. An abstract application dam contamination model studied justify developed result. This paper contains T-control control. work unique combination as well real life application.

Language: Английский

Citations

5
Using Epidemiological Models to Predict the Spread of Information on Twitter DOI Creative Commons

Matteo Castiello,

Dajana Conte,

Samira Iscaro

et al.

Algorithms, Journal Year: 2023, Volume and Issue: 16(8), P. 391 - 391

Published: Aug. 17, 2023

In this article, we analyze the spread of information on social media (Twitter) and purpose a strategy based epidemiological models. It is well known that represent strong tool to news and, in particular, fake news, due fact they are free easy use. First, propose an algorithm create proper dataset order employ ignorants–spreaders–recovered model. Then, show use model study diffusion real parameter estimation required. We it also possible accurately predict evolution its peak terms maximum number people who share time when occurs trough process data reduction, i.e., by using only part built optimize parameters. Numerical results analysis provided confirm applicability our proposed strategy.

Language: Английский

Citations

3