On the Analytical Solution of the SIRV-Model for the Temporal Evolution of Epidemics for General Time-Dependent Recovery, Infection and Vaccination Rates
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- Marco Gribaudo & Mauro Iacono & Daniele Manini, 2021. "COVID-19 Spatial Diffusion: A Markovian Agent-Based Model," Mathematics, MDPI, vol. 9(5), pages 1-12, February.
- Wang, Jinliang & Zhang, Ran & Kuniya, Toshikazu, 2021. "A reaction–diffusion Susceptible–Vaccinated–Infected–Recovered model in a spatially heterogeneous environment with Dirichlet boundary condition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 848-865.
- Wang, Zhishuang & Guo, Quantong & Sun, Shiwen & Xia, Chengyi, 2019. "The impact of awareness diffusion on SIR-like epidemics in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 134-147.
- Abdulrahman B. Albidah, 2023. "A Proposed Analytical and Numerical Treatment for the Nonlinear SIR Model via a Hybrid Approach," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
- Ameen, I. & Baleanu, Dumitru & Ali, Hegagi Mohamed, 2020. "An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
- Xiaoni Li & Xining Li & Qimin Zhang, 2020. "Time to extinction and stationary distribution of a stochastic susceptible-infected-recovered-susceptible model with vaccination under Markov switching," Mathematical Population Studies, Taylor & Francis Journals, vol. 27(4), pages 259-274, October.
- Gabriel Sepulveda & Abraham J. Arenas & Gilberto González-Parra, 2023. "Mathematical Modeling of COVID-19 Dynamics under Two Vaccination Doses and Delay Effects," Mathematics, MDPI, vol. 11(2), pages 1-30, January.
- Kuilin Wu & Kai Zhou, 2019. "Traveling Waves in a Nonlocal Dispersal SIR Model with Standard Incidence Rate and Nonlocal Delayed Transmission," Mathematics, MDPI, vol. 7(7), pages 1-22, July.
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Keywords
nonlinear differential equations; analytic solution; vaccination; pandemic spreading; infinite sums;All these keywords.
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