[PDF] Top 20 Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method
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Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method
... is based on epidemic model SIR, which fits well to many epidemiological ...of Homotopy Analysis Method (HAM)is discussed and employed to compute an approximation to the ... See full document
10
Analytical approximate solution of leptospirosis epidemic model with standard incidence rate
... mathematical model of leptospirosis disease which is an infectious disease. The model we are considering is a system of nonlinear ordinary differential equations and it is difficult to find exact ...He’s ... See full document
13
Global Analysis for a Delay-Distributed SIR Epidemic Model
... The analysis of mathematical models describing the spread and control of infectious disease is one of major area ...The SIR infections disease models have been studied by many ...of SIR models are ... See full document
6
Existence of a Nonautonomous SIR Epidemic Model with Age Structure
... nonnegative solution of the model ...are based on a process of the age- dependent problem for the susceptible the infected and the removed, and then a fixed point ...a solution for an ... See full document
23
Dynamical Behavior of Fractional Order SVIR Epidemic Model
... SVIR epidemic model is incorporated to investigate its dynamical behavior in random ...sensitivity analysis of fractional order has been made and verify the non-negative unique ...solution.The ... See full document
15
A Stochastic Information Diffusion Model in Social Networks Based on SIR Epidemic Model
... diffusion model with random perturbation in social networks, which is based on SIR deterministic epidemic ...nonnegative solution to the stochastic information diffusion model ... See full document
7
An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate
... Mathematically epidemic models represent a useful tool to analyze this subject, and reach all factors affecting it through mathematical equations to predict their behavior ...an epidemic model in ... See full document
9
Analysis of an SIRS epidemic model with nonlinear incidence and vaccination
... SIRS epidemic model with a nonlinear incidence rate and ...the model. We calculate the basic reproduction number of the proposed model by using the next generation matrix ... See full document
14
Epidemic Propagation: An Automaton Model as the Continuous SIR Model
... the SIR model to predict the time evolution of an epidemic is very frequent and has spatial information about its propagation which may be very useful to contrast its ...automaton model that ... See full document
6
An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy
... Euler method, Runge-Kutta method and some other standard finite schemes implemented in a dynamical system can lead to negative solutions for spurious dynamical behaviors such as converging to wrong ... See full document
15
SERIES SOLUTION OF EPIDEMIC MODEL
... the epidemic model has taken at- tention in recent ...the epidemic is considered. Adomian decomposition method [2] and homotopy perturbation method [3] have been used to solve ... See full document
7
Analysis of an SEIR Epidemic Model with a General Feedback Vaccination Law
... the vaccination as Figure 4 ...the vaccination function converges to the value of immune at ...The solution of the SEIR model under the standard independent Wiener processes (17)- (20) and the ... See full document
6
Global stability analysis for a generalized delayed SIR model with vaccination and treatment
... outbreak. Vaccination has the role of preventing healthy people from getting infected by a disease, while treatment cures a disease and can also be used as a ...mathematical model to study the effect of both ... See full document
19
Analytic approximate solution for the KdV equation with the homotopy analysis method
... This method has been applied successfully to many nonlinear problems in engineering and science, such as the magnetohydrodynamics flows of non-Newtonian fluids over a stretching sheet [6], boundary-layer flows ... See full document
9
Stability and Hopf bifurcation analysis of SIR epidemic model with time delay
... explorer. Based on this consideration, the inclusion of time delay into susceptible and infective individuals in transmission rate, although only in the first equation becomes imperative since susceptible ... See full document
5
Numerical Solution For Spread Of Tuberculosis Model With Perturbation Homotopy Method (MPH)
... distribution model for ...the SIR and SEIR mathematical models and the analysis used is the Lyaponuv function method which describes the existence of tuberculosis in a region, but researchers ... See full document
5
Analytical Approximate Solution of Fractional Wave Equation by the Optimal Homotopy Analysis Method
... Fractional derivatives, as generalizations of classical integer order derivatives, are in- creasingly used to model numerous problems in different fields of applied science. In recent years, the fractional ... See full document
16
A two parameter mathematical model for immobilizedenzymes and Homotopy analysis method
... The solution may not be unique and can have convergence problem if finite dif- ferences were used ...allocation method is not reliable when high diffusional limitations occur because this method uses ... See full document
10
New Solution of Substrate Concentration in the Biosensor Response by Discrete Homotopy Analysis Method
... quicker analysis with high specificity for biosensors ...the model biosensors are used to study the biochemical treatment of biosensors ...mathematical model developed is based on ... See full document
6
Bifurcation and Stability Analysis of a Discrete Time Sir Epidemic Model with Vaccination
... One of the other famous examples identified by these systems are epidemic models [10]. Modeling an outbreak that is progressing through the population allows us to examine the consequences of ways of preventing or ... See full document
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