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- Age-structure (3)
- Epidemic (3)
- Proportionate mixing (3)
- Stability (3)
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- Vertical transmission (2)
- Age structure (1)
- Averaging technique (1)
- Binomial Model (1)
- Call Replication (1)
- Convergence (1)
- Data management (1)
- Discrete Time Black-Scholes Hedging (1)
- Discrete scheme (1)
- Functional arguments (1)
- Global stability (1)
- Hyperbolic systems (1)
- Interval criteria (1)
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- P-Laplacian (1)
- Physiology (1)
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- Riccati equation (1)
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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
A Partially Discretized Age-Dependent Population Model With An Additional Stucture, Jean Tchuenche
A Partially Discretized Age-Dependent Population Model With An Additional Stucture, Jean Tchuenche
Applications and Applied Mathematics: An International Journal (AAM)
A semi-discretization method for solving an age-dependent population dynamics model with an additional structure is proposed. This method, unlike previous ones, considers the partial discretization which reduces the model equation into a first order ordinary differential equation. The latter is then solved explicitly and conditions under which second order accuracy arises are given. While the approach adopted is basically analytical, the main result shows that the sum of errors is bounded. An extension to the non-trivial case where growth depends on the additional parameter leads to a Riccati equation, and the existence and
convergence of solutions are proved.
Data Management Plans: Stages, Components, And Activities, Abbas S. Tavakoli, Kirby Jackson, Linda Moneyham, Kenneth D. Phillips, Carolyn Murdaugh, Gene Meding
Data Management Plans: Stages, Components, And Activities, Abbas S. Tavakoli, Kirby Jackson, Linda Moneyham, Kenneth D. Phillips, Carolyn Murdaugh, Gene Meding
Applications and Applied Mathematics: An International Journal (AAM)
Data management strategies have become increasingly important as new computer technologies allow for larger and more complex data sets to be analyzed easily. As a consequence, data management has become a specialty requiring specific skills and knowledge. Many new investigators have no formal training in management of data sets. This paper describes common basic strategies critical to the management of data as applied to a data set from a longitudinal study. The stages of data management are identified. Moreover, key components and strategies, at each stage are described.
Oscillations Of Hyperbolic Systems With Functional Arguments, Yutaka Shoukaku, Norio Yoshida
Oscillations Of Hyperbolic Systems With Functional Arguments, Yutaka Shoukaku, Norio Yoshida
Applications and Applied Mathematics: An International Journal (AAM)
Hyperbolic systems with functional arguments are studied, and sufficient conditions are obtained for every solution of boundary value problems to be weakly oscillatory (that is, at least one of its components is oscillatory) in a cylindrical domain. Robin-type boundary condition is considered. The approach used is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems by using some integral means of solutions.
Stability Analysis For An Seir Age-Structured Epidemic Model Under Vaccination, M. El-Doma
Stability Analysis For An Seir Age-Structured Epidemic Model Under Vaccination, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SEIR age-structured epidemic model is investigated when susceptible and immune individuals are vaccinated indiscriminately and the force of infection of proportionate mixing type. We determine the steady states and obtain an explicitly computable threshold condition, and then study the stability of the steady states.
Global Stability Results And Well Posedness Of An Si Age-Structured Epidemic Model With Vertical Transmission, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SI age-structured epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility and mortality rates depend on age and the force of infection of proportionate mixing assumption type. We prove the well posedness of the model as well as the global stability for endemic equilibriums.
Remarks On The Stability Of Some Size-Structured Population Models I: Changes In Vital Rates Due To Population Only, Mohammed El-Doma
Remarks On The Stability Of Some Size-Structured Population Models I: Changes In Vital Rates Due To Population Only, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
We consider a size-structured population model that has been studied in Calsina et al. (2003). We propose a different approach that provides direct stability results, and we correct a stability result given therein. In addition, we obtain global stability results that have not been given in Calsina et al. (2003).
A Discrete Time Counterpart Of The Black-Scholes Bond Replication Portfolio, Andrzej Korzeniowski
A Discrete Time Counterpart Of The Black-Scholes Bond Replication Portfolio, Andrzej Korzeniowski
Applications and Applied Mathematics: An International Journal (AAM)
We construct a discrete time self-financing portfolio comprised of call options short and stock shares long which is riskless and grows at a fixed rate of return. It is also shown that when shorting periods tend to zero then so devised portfolio turns into the Black-Scholes bond replication. Unlike in standard approach the analysis presented here requires neither Ito Calculus nor solving the Heat Equation for option pricing.
Interval - Mtype Oscillation Criteria For Half - Linear Pde With Damping, Robert Marik
Interval - Mtype Oscillation Criteria For Half - Linear Pde With Damping, Robert Marik
Applications and Applied Mathematics: An International Journal (AAM)
Using the Riccati substitution we derive new sufficient conditions which ensure that the half-linear partial differential equation with p-Laplacian and damping in the form of Equation (E) in the paper is oscillatory. These criteria, called interval criteria in theory of ODE's, allow to eliminate “bad parts” of the potential function c(x) from our considerations. Some of the results are new even in the case when (E) becomes linear ordinary differential equation.
Analysis Of An Sirs Age-Structured Epidemic Model With Vaccination And Vertical Transmission Of Disease, Mohammed El-Doma
Analysis Of An Sirs Age-Structured Epidemic Model With Vaccination And Vertical Transmission Of Disease, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SIRS age-structured epidemic model for a vertically as well as horizontally transmitted disease under vaccination is investigated when the fertility, mortality and removal rates depend on age and the force of infection of proportionate mixing assumption type, and vaccination wanes over time. We prove the existence and uniqueness of solution to the model equations, and show that solutions of the model equations depend continuously on the initial age-distributions. Furthermore, we determine the steady states and obtain an explicitly computable threshold condition, in terms of the demographic and epidemiological parameters of the model; we then study the stability of the …