HIV Model Described by Differential Inclusions

Barrios, Jorge; Pietrus, Alain; Marrero, Aymée; Arazoza, Hector De

doi:10.1007/978-3-642-02478-8_114

Cited by 3 publications

(2 citation statements)

References 5 publications

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“…A great number of papers and books are available on the differential inclusions theory (e.g., [1]) and applications (e.g., [2]). In this paper we present a model of dengue disease described by a differential inclusion to express the uncertainty in one parameter in order to analyze the behavior of an epidemic outbreak of dengue in Cuba.…”

Section: Introductionmentioning

confidence: 99%

Dengue Model Described by Differential Inclusions

Barrios

Pietrus

Marrero

et al. 2011

Advances in Computational Intelligence

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Abstract. In this paper we formulate a differential inclusion to model an epidemic outbreak of Dengue fever in the Cuban conditions. The model takes into account interaction of human and mosquito populations as well as vertical transmission in the mosquito population. Finally, we propose a mathematical framework allowing us to make suitable predictions about the populations of humans, mosquitoes and eggs infected during the epidemic time.

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Section: Introductionmentioning

confidence: 99%

Dengue Model Described by Differential Inclusions

Barrios

Pietrus

Marrero

et al. 2011

Advances in Computational Intelligence

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“…This equivalence between control systems and differential inclusions plays a key role in proving existence theorems in optimal control theory. Differential inclusion has wide applications to models in economics, sociology and bioecology etc., and thus, it has been considerably investigated in last decades, see, for instance, [2][3][4][5][6][7][8] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators

Chang

Ponce

Yang

2020

International Journal of Nonlinear Sciences and Numerical Simulation

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In this paper, we consider mild solutions to fractional differential inclusions with nonlocal initial conditions. The main results are proved under conditions that (i) the multivalued term takes convex values with compactness of resolvent family of operators; (ii) the multivalued term takes nonconvex values with compactness of resolvent family of operators and (iii) the multivalued term takes nonconvex values without compactness of resolvent family of operators, respectively.

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Properties of solution sets for Sobolev type fractional differential inclusions via resolvent family of operators

Chang

Ponce

2017

Eur. Phys. J. Spec. Top.

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HIV Model Described by Differential Inclusions

Cited by 3 publications

References 5 publications

Dengue Model Described by Differential Inclusions

Dengue Model Described by Differential Inclusions

Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators

Properties of solution sets for Sobolev type fractional differential inclusions via resolvent family of operators

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