Stability and extinction of SEIR epidemic models with generalized nonlinear incidence
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DOI: 10.1016/j.matcom.2018.09.029
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References listed on IDEAS
- Li, Guihua & Jin, Zhen, 2005. "Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1177-1184.
- Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
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Cited by:
- Zhai, Xuanpei & Li, Wenshuang & Wei, Fengying & Mao, Xuerong, 2023. "Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
- Zhou, Yaxin & Jiang, Daqing, 2023. "Dynamic behavior of infectious diseases influenced by TV and social media advertisement," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
- Jing Zhang & Tong Jin, 2024. "A Stochastic Semi-Parametric SEIR Model with Infectivity in an Incubation Period," Mathematics, MDPI, vol. 12(10), pages 1-14, May.
- Zuwen Wang & Shaojian Cai & Guangmin Chen & Kuicheng Zheng & Fengying Wei & Zhen Jin & Xuerong Mao & Jianfeng Xie, 2024. "Dynamics of a Dengue Transmission Model with Multiple Stages and Fluctuations," Mathematics, MDPI, vol. 12(16), pages 1-26, August.
- Liu, Fangfang & Wei, Fengying, 2022. "An epidemic model with Beddington–DeAngelis functional response and environmental fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
- Lu, Chun & Liu, Honghui & Zhang, De, 2021. "Dynamics and simulations of a second order stochastically perturbed SEIQV epidemic model with saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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Keywords
Stochastic epidemic model; Persistence; Extinction; Threshold;All these keywords.
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