scholarly journals Kestabilan Model Epidemi SEIR Dengan Laju Insidensi

2015 ◽  
Vol 10 (2) ◽  
pp. 74
Author(s):  
Roni Tri Putra ◽  
Sukatik - ◽  
Sri Nita
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Equation System ◽  
Differential Equation System ◽  
Equilibrium Existence

In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with incidence rate. From the model it will be found investigated the existence and uniqueness solution  of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue. 

scholarly journals Model Epidemi Seir dengan Insidensi Standar

2016 ◽  
Vol 12 (1) ◽  
pp. 73
Author(s):  
Roni Tri Putra
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Equation System ◽  
Differential Equation System ◽  
Equilibrium Existence

In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with standard incidence. From the model it will be found investigated the existence and uniqueness solution  of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

scholarly journals Kestabilan Model Epidemi Dengan Laju Insidensi Jenuh

2017 ◽  
Vol 13 (1) ◽  
pp. 43
Author(s):  
Roni Tri Putra ◽  
Quinoza Guvil
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Equation System ◽  
Differential Equation System ◽  
Equilibrium Existence ◽  
Saturated Incidence

In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with saturated incidence. From the model it will be found investigated the existence and uniqueness solution  of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

scholarly journals Analisis Eksistensi dan Ketunggalan Solusi Model Epidemi SEIR

2014 ◽  
Vol 10 (1) ◽  
pp. 65
Author(s):  
Roni Tri Putra
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Existence And Uniqueness ◽  
Equilibrium Points ◽  
Equation System ◽  
Differential Equation System ◽  
Equilibrium Existence ◽  
Seir Model

In this paper, it will be studied existence and uniqueness solution  of equilibrium points for a SEIR model with infectious force in latent, infected and immune period. From the model it will be found investigated the existence and uniqueness solution  of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

Sensitivity of Hurwitz stability of linear differential equation systems with constant coefficients

2017 ◽  
Vol 14 (06) ◽  
pp. 1750084
Author(s):  
Ahmet Duman ◽  
Kemal Aydin
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Equation System ◽  
Linear Differential Equations ◽  
Differential Equation System ◽  
Hurwitz Stability ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Stable Linear

For Hurwitz stable linear differential equation system with constant coefficients, we have proved continuity theorems which show how much change is permissible without disturbing the Hurwitz stability and the [Formula: see text]-Hurwitz stability. The results have been applied to the scalar–linear differential equations with order [Formula: see text] and some examples illustrating the efficiency of the theorems have been given.

Dengue and Chikungunya simulating model with mosquito periodic mortality rate

2017 ◽  
pp. 2919-2931
Author(s):  
Oscar A. Manrique A. ◽  
Steven Raigosa O. ◽  
Dalia M. Munoz P. ◽  
Mauricio Ropero P. ◽  
Anibal Munoz L. ◽  
...  
Keyword(s):  
Differential Equation ◽  
Mortality Rate ◽  
Differential Equations ◽  
Dynamic System ◽  
Ordinary Differential Equations ◽  
Equation System ◽  
Nonlinear Ordinary Differential Equations ◽  
Differential Equation System ◽  
Infectious Process ◽  
Population Mortality

A dynamic system of nonlinear ordinary differential equations to display the infectious process of Dengue-Chikungunya, is presented. The system including a mosquito periodic mortality rate and simulations of the differential equation system by MATLAB software to determine the effect of climatic variables (temperature, humidity, pluviosity) in the infectious population mortality, is carried out.

A Modified Nonlocal Continuum Electrostatic Model for Protein in Water and Its Analytical Solutions for Ionic Born Models

2013 ◽  
Vol 13 (1) ◽  
pp. 174-194 ◽  
Author(s):  
Dexuan Xie ◽  
Hans W. Volkmer
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Analytical Solutions ◽  
Equation System ◽  
Electrostatic Model ◽  
Differential Equation System ◽  
Nonlocal Continuum ◽  
Large Protein ◽  
Water Solvent ◽  
Dielectric Continuum

AbstractA nonlocal continuum electrostatic model, defined as integro-differential equations, can significantly improve the classic Poisson dielectric model, but is too costly to be applied to large protein simulations. To sharply reduce the model’s complexity, a modified nonlocal continuum electrostatic model is presented in this paper for a protein immersed in water solvent, and then transformed equivalently as a system of partial differential equations. By using this new differential equation system, analytical solutions are derived for three different nonlocal ionic Born models, where a monoatomic ion is treated as a dielectric continuum ball with point charge either in the center or uniformly distributed on the surface of the ball. These solutions are analytically verified to satisfy the original integro-differential equations, thereby, validating the new differential equation system.

scholarly journals Transient Dynamics in the Random Growth and Reset Model

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 306
Author(s):  
Tamás S. Biró ◽  
Lehel Csillag ◽  
Zoltán Néda
Keyword(s):  
Differential Equation ◽  
Mean Field ◽  
Equation System ◽  
Transient Dynamics ◽  
Type Model ◽  
Discrete Version ◽  
Differential Equation System ◽  
Practical Applications ◽  
Random Growth ◽  
Recursive Integration

A mean-field type model with random growth and reset terms is considered. The stationary distributions resulting from the corresponding master equation are relatively easy to obtain; however, for practical applications one also needs to know the convergence to stationarity. The present work contributes to this direction, studying the transient dynamics in the discrete version of the model by two different approaches. The first method is based on mathematical induction by the recursive integration of the coupled differential equations for the discrete states. The second method transforms the coupled ordinary differential equation system into a partial differential equation for the generating function. We derive analytical results for some important, practically interesting cases and discuss the obtained results for the transient dynamics.

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