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
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamical and Control Systems"
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
DYNAMICAL ANALYSIS OF TB MODEL WITH NONLINEAR INCIDENCE RATE AND OPTIMAL CONTROL
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Biological Systems"
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
A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Biomathematics"
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
Sign Up to like & getrecommendations! Published in 2017 at "Computational and Mathematical Methods in Medicine"
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
Dynamic behaviors of a modified SIR model in epidemic diseases using nonlinear incidence and recovery rates
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DOI: 10.1371/journal.pone.0175789
Abstract: The transmission of infectious diseases has been studied by mathematical methods since 1760s, among which SIR model shows its advantage in its epidemiological description of spread mechanisms. Here we established a modified SIR model with… read more here.
Keywords: sir model; model; incidence recovery; nonlinear incidence ... See more keywords
Dynamics of a COVID-19 Model with a Nonlinear Incidence Rate, Quarantine, Media Effects, and Number of Hospital Beds
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DOI: 10.3390/sym13060947
Abstract: In many countries the COVID-19 pandemic seems to witness second and third waves with dire consequences on human lives and economies Given this situation the modeling of the transmission of the disease is still the… read more here.
Keywords: quarantine media; incidence rate; hospital beds; model ... See more keywords