Multigroup deterministic and stochastic SEIRI epidemic models with nonlinear incidence rates and distributed delays: A stability analysis
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DOI: 10.1002/mma.4453
Abstract: In this paper, we investigate the dynamics of a multigroup disease propagation model with distributed delays and nonlinear incidence rates, which accounts for the relapse of recovered individuals. The main concern is the stability of… read more here.
Keywords: nonlinear incidence; incidence rates; multigroup deterministic; distributed delays ... See more keywords
Diffusive Epidemiological Predator–Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate
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DOI: 10.1007/s10883-020-09512-3
Abstract: In this paper, when the predator breeds only by the prey, the relationship among the two classes of prey (susceptible and infected prey) and the predator is represented by using an epidemic model with nonlinear… read more here.
Keywords: epidemiological predator; diffusive epidemiological; prey; predator ... See more keywords
Dynamics and control of COVID-19 pandemic with nonlinear incidence rates
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DOI: 10.1007/s11071-020-05774-5
Abstract: World Health Organization (WHO) has declared COVID-19 a pandemic on March 11, 2020. As of May 23, 2020, according to WHO, there are 213 countries, areas or territories with COVID-19 positive cases. To effectively address… read more here.
Keywords: control covid; control; nonlinear incidence; covid pandemic ... See more keywords
Asymptotic properties of a stochastic SIRS epidemic model with nonlinear incidence and varying population sizes
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DOI: 10.1080/14689367.2019.1620689
Abstract: ABSTRACT This paper studies a class of stochastic SIRS epidemic models with general nonlinear incidence and varying population sizes. A new threshold value is obtained. The sufficient conditions for the global stability of the disease-free… read more here.
Keywords: incidence; sirs epidemic; incidence varying; varying population ... See more keywords
Dynamics analysis of a delayed stochastic SIRS epidemic model with a nonlinear incidence rate
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DOI: 10.1080/15326349.2024.2401410
Abstract: Abstract. This article proposes a stochastic delayed SIRS epidemic model with nonlinear incidence to describe disease transmission in a stochastic environment. First, it proves that the model has a unique global positive solution and derives… read more here.
Keywords: model; nonlinear incidence; sirs epidemic; epidemic model ... See more keywords
DYNAMICAL ANALYSIS OF TB MODEL WITH NONLINEAR INCIDENCE RATE AND OPTIMAL CONTROL
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DOI: 10.1142/s0218339023500250
Abstract: We propose and analyze a TB transmission model with nonlinear incidence rate, immunization and medical treatment. First, the existences and stabilities of the equilibrium are studied. The results indicate the basic reproduction number [Formula: see… read more here.
Keywords: model nonlinear; nonlinear incidence; incidence rate; model ... See more keywords
APPLICABILITY OF FRACTALS-FRACTIONAL ANALYSIS TO INVESTIGATE ROTAVIRUSES DISEASE MODEL WITH NONLINEAR INCIDENCE RATE
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DOI: 10.1142/s0218348x25402376
Abstract: Fractals and fractional analysis has attracted great attention in recent times. Due to its tremendous applications in various disciplines of science and technology, researchers have given much attention to the said area. Population dynamical systems,… read more here.
Keywords: disease model; analysis; nonlinear incidence; model nonlinear ... See more keywords
A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
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DOI: 10.1142/s1793524520500205
Abstract: In this paper, a stochastic epidemic system with both switching noise and white noise is proposed to research the dynamics of the diseases. Nonlinear incidence and vaccination strategies are also c... read more here.
Keywords: stochastic switched; nonlinear incidence; switched sirs; incidence vaccination ... See more keywords
Threshold Dynamics in Stochastic SIRS Epidemic Models with Nonlinear Incidence and Vaccination
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DOI: 10.1155/2017/7294761
Abstract: In this paper, the dynamical behaviors for a stochastic SIRS epidemic model with nonlinear incidence and vaccination are investigated. In the models, the disease transmission coefficient and the removal rates are all affected by noise.… read more here.
Keywords: sirs epidemic; nonlinear incidence; incidence vaccination; stochastic sirs ... See more keywords
Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate
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DOI: 10.1186/s13662-018-1494-1
Abstract: In this paper, we study a new SEIRS epidemic model describing nonlinear incidence with a more general form and the transmission of influenza virus with disease resistance. The basic reproductive number ℜ0$\Re_{0}$ is obtained by… read more here.
Keywords: nonlinear incidence; model; disease resistance; disease ... See more keywords
Mathematical evaluation of the role of cross immunity and nonlinear incidence rate on the transmission dynamics of two dengue serotypes
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DOI: 10.1186/s13662-020-02585-1
Abstract: Dengue fever is a common disease which can cause shock, internal bleeding, and death in patients if a second infection is involved. In this paper, a multi-serotype dengue model with nonlinear incidence rate is formulated… read more here.
Keywords: transmission; nonlinear incidence; two dengue; incidence rate ... See more keywords