Disease-Free Equilibrium Point
Stability Analysis of Conjunctivitis Model with Nonlinear Incidence Term
... two equilibrium points; disease free and endemic equilibrium ...the disease free equilibrium point is local asymptotically stable: ...
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Theory of reactive interventions in the elimination and control of malaria
... endemic equilibrium points divides the basins of attraction of the disease-free equilibrium point and the larger endemic equilibrium ...unstable equilibrium point, ...
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Stability Analysis of a Deterministic Epidemic Model in Metapopulation Setting
... at disease free equilibrium point by differentiating each equation in the system with respect to the state variables S YUF , S YEF , S YUM , S YEM , I YUM , I YEM , I YEF , I YUF and ...
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Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies
... the disease disappears over time. Figure 2 reflects that the disease dies out and the disease-free equilibrium point P 0 is globally asymptotically ...
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Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate
... S E I S E I S E I (7) The region Γ is positively invariant with respect to systems (4). So, the only solution with the associated initial conditions will be considered inside the re- gion Γ , where the uniqueness of ...
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Epidemic models, Equilibrium points, SEIRS epidemic models; SVEIRS epidemic models, positivity, vaccination control.
... endemic equilibrium point because then the solution trajectory of ...the disease-free equilibrium point provided that it is at least locally asymptotically stable or to be ...
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Modeling the spread of dengue fever by using SIR model
... the disease. The basic reproduction number can be use to find the disease free equilibrium point and endemic equilibrium ...
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Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model
... healthy equilibrium point of the tumor model in which the malignant cells are completely destroyed, this method can find a region around this point that if the initial condition of disease ...
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Global Stability Analysis of a Delayed SEIQR Epidemic Model with Quarantine and Latent
... the disease-free equilib- rium and endemic equilibrium of system (2) is ...the disease-free equi- librium is globally asymptotically stable when the basic reproduction number is less ...
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Persistence and stability of the disease free equilibrium in a stochastic epidemic model with imperfect vaccine
... the disease-free equilib- rium point is almost surely exponentially stable if μ+γ β < , which improves condition ...the disease be ...
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The Ecology of Dog Heartworm Disease.
... In the first study, I assessed the effects of suburbanization on mosquito species assemblages. I sampled mosquitoes in neighborhoods of different ages and in undeveloped wooded and field areas as controls, then compared ...
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A General Model for Hepatitis B Disease with Age Dependent Susceptibility and Transmission Probabilities
... λ = β (1.5) In the above model (1.1)-(1.5), we do not take into account possible vertical transmission and we do not consider any control strategy such as vaccination campaign. It seems to be relevant together the ...
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Dynamic Analysis for a SIQR Epidemic Model with Specific Nonlinear Incidence Rate
... dence can be changed to various common types of incidence rates in existing li- teratures, including the bilinear incidence rate, the saturation incidence, Bed- dington-DeAngelis incidence [10] and Crowley-Martin ...
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Design and Analysis of Modified SIQRS Model for Performance Study of Wireless Sensor Network
... Abstract. The dynamics of worm propagation in the Wireless Sensor Networks (WSNs) is one of the fundamental challenge due to critical operational constraints. In this paper we propose a modified ...
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Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function
... S > I θ = Φ θ θ ∈ − h (11) where Φ ∈ = C ( [ − h ,0 , ] + ) , the space of continuous functions from [ − h ,0 ] to + equipped with the sup norm: Φ = sup θ ∈ − [ h ,0 ] Φ ( ) θ . Standard theory of functional ...
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Agency Cost under the Restriction of Free Cash Flow
... the equilibrium point ultimately, though the non-pecuniary benefit increases and is higher than free cash ...and free cash flow on the equilibrium point will be enlarged and ...
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Free disposal, monotonicity and equilibrium
... with free disposal, and prove that for economies in E, the class of utility functions satisfying the GS condition is ^ a largest set for which the existence of Walrasian equilibrium is ...
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Center manifold analysis and Hopf bifurcation of within-host virus model
... the disease free equilibrium (DFE) is globally asymptotically stable, and when it exceeds unity, the DFE is unstable and there exists a unique infectious equilibrium which may or may not be ...
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A selection and a fixed point theorem and an equilibrium point of an abstract economy
... TARAFDAR, E., A fixed point theorem and equilibrium point of an abstract economy; Journal of Mathematical Economics 20 1991 211-218 On the existence of equilibria in economics with infin[r] ...
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Stability analysis of the transmission dynamics of an HBV model
... the disease-free ...the disease- free ...the disease-free equilibrium, we apply the novel approach in Kamgang and Sallet ...
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