Endemic Equilibrium
Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium
... disease-free equilibrium and at least one endemic equilibrium that is locally asymptotically ...one endemic equilibrium which translates that t animal and human have the contribution on ...
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Global stability of the endemic equilibrium of a discrete SIR epidemic model
... the endemic equilibrium have been obtained for continuous SIR models with various transmission ...the endemic equilibrium for discrete SIR model is rare, even for the model with mass action ...
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Mathematical Analysis Of The Endemic Equilibrium Of Thetransmission Dynamics Of Tuberculosis.
... disease-free equilibrium state and the endemic equilibrium ...disease-free equilibrium state shall be carried out using the Routh- Hurwitz criterion while that of the endemic ...
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Epidemic models, Equilibrium points, SEIRS epidemic models; SVEIRS epidemic models, positivity, vaccination control.
... This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also ...
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Vol 2017
... Abstract. Maize Lethal Necrosis disease (MLND) is a viral disease that can cause fatal damage to the crop of maize plants. This is very common in East Africa countries and Democratic Republic of Congo (DRC). In this ...
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Modeling And Analysis Of An SVIRS Epidemic Model Involving External Sources Of Disease
... possible equilibrium points are studied analytically as well as ...free equilibrium point, but neither saddle node nor pitchfork bifurcation can ...the endemic equilibrium ...
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The threshold of a stochastic SIRS epidemic model in a population with varying size
... simulations to support our result. As expected, the solution oscillates around the endemic equilibrium P ∗ for a long time (see Figure 4). The parameters used for the first two plots in Figure 4 are all the ...
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A dynamic model and some strategies on how to prevent and control hepatitis c in mainland China
... The aim of this work is to use mathematical modelling to investigate the influences of hepatitis C, then probe and draw some conclusions about effective policy. The orga- nization of this paper is as follows. In the next ...
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Stability analysis of an in-vivo hepatitis C dynamics model with therapy
... the endemic equilibrium point (EE) and performed the stability analysis of the model equilibria using a derived threshold quantity well-known as the effective reproductive number, 𝑅 𝑒 ...free ...
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Theory of reactive interventions in the elimination and control of malaria
... unstable endemic equilibrium points divides the basins of attraction of the disease-free equilibrium point and the larger endemic equilibrium ...unstable equilibrium point, then ...
13
The Effect Of External Source Of Disease On The HIV\ Aids Model With Bifurcation
... In this section, the global dynamic of system (1) is studied numerically. The objectives of this study are confirming our obtained analytical results and understand the effects of contact and existence of the external ...
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Stability analysis of the transmission dynamics of an HBV model
... concern. Mathematical models can be a useful tools in this approach which help us to optimize the use of finite sources or simply to goal con- trol measures more impressively. In the present paper we examine the dynamic ...
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Vol 2017
... Sometimes it is difficult to obtain eigenvalues directly from Jacobian matrix. Whenever it is impossible to compute the eigenvalues from the Jacobian matrix, linearization method offers al- ternative methods to test the ...
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Vol 2016
... the equilibrium and stability, precisely the global asymptotic stability of endemic equilibrium under certain conditions on the ...the equilibrium and stability of the epidemic model with ...
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A Dynamical Analysis on a Tumour Virotherapy Model with Standard Incident Rate
... two equilibrium points of the model, namely uninfected equilibrium and endemic ...uninfected equilibrium always exists while the endemic equilib- rium exists under an existence ...
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Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics
... Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were ...Free equilibrium state was ...Free Equilibrium (DFE) and the result of ...
5
A model for hepatitis B disease with age-dependent susceptibility and vertical transmission
... endemic equilibrium is globally asymptotically stable if R 0 > 1 and that the system is uniformly persistent under given some assumptions. Moreover, our theoretical study for stability of steady states ...
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The effect of immune responses in HCV disease progression
... Abstract. In this research article, the discreet role of Cytotoxic T Lymphocyte (CTL) during the Hepatitis C Virus infection has been studied. To explore the implications of the CTL responses, we have formulated a model ...
14
Stability of a Numerical Discretisation Scheme for the SIS Epidemic Model with a Delay
... 1.0, ε = 0 The numerical solutions oscillate about the endemic equilibrium. Figure 4(left) and Figure 4(right) represent the solutions when τ = 1.5 and τ = 1.65, re- spectively. We can see that the ...
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The population dynamics of bovine tuberculosis in possums : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University
... Above this parameter threshold both models had the Endemic equilibrium stable inside the biologically feasible region with the Disease-free equilibrium unstable, while below this thresho[r] ...
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