Search results for "systems of differential equations"

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An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

2020

In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

Differential equationfixed point theorylcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisFixed-point theoremMonotonic functionGauge (firearms)Fixed pointlcsh:QA1-939sequentially complete gauge spaces.01 natural sciences010101 applied mathematicsLinear differential equationComputer Science (miscellaneous)systems of differential equationsexistence and uniqueness theoremsUniqueness0101 mathematicsEngineering (miscellaneous)monotonic solutionsMathematicsMathematics
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epiModel: A system to build automatically systems of differential equations of compartmental type-epidemiological models

2011

In this paper we describe epiModel, a code developed in Mathematica that facilitates the building of systems of differential equations corresponding to type-epidemiological linear or quadratic models whose characteristics are defined in text files following an easy syntax. It includes the possibility of obtaining the equations of models involving age and/or sex groups. © 2011.

Systems of differential equationsDifferential equationsTheoretical computer scienceBuilding codesDifferential equationComputer scienceAutomatic building of systems of differential equationsDisease transmissionMathematical parametersMathematicaHealth InformaticsText fileComputer programEpidemiological modelType (model theory)Models BiologicalModellingArticleDisease predispositionQuadratic equationMathematical modelComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputer SimulationQuadratic modelsPriority journalSyntax (programming languages)Computer programText fileConvalescenceComputer Science ApplicationsCompartment modelType-epidemiological modelProgramming LanguagesEpidemiologic MethodsMATEMATICA APLICADADisease transmissionHuman
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