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Article
Stability Analysis of a New Differential-Difference Model Applied to the Pre-exposure Prophylaxis (PrEP) Effect on the Spread of HIV
In this research, an examination is conducted on a model derived from the inquiry into the efficacy of HIV Pre-Exposure Prophylaxis (PrEP) within high-risk populations. To achieve this objective, we employ an ...
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Article
Global Asymptotic Stability of a Hybrid Differential–Difference System Describing SIR and SIS Epidemic Models with a Protection Phase and a Nonlinear Force of Infection
We study the local and global asymptotic stability of the two steady-states, disease-free and endemic, of hybrid differential–difference SIR and SIS epidemic models with a nonlinear force of infection and a te...
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Article
Why Are Periodic Erythrocytic Diseases so Rare in Humans?
Many studies have shown that periodic erythrocytic (red blood cell linked) diseases are extremely rare in humans. To explain this observation, we develop here a simple model of erythropoiesis in mammals and in...
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Article
Modeling the Relationship Between Antibody-Dependent Enhancement and Disease Severity in Secondary Dengue Infection
Sequential infections with different dengue serotypes (DENV-1, 4) significantly increase the risk of a severe disease outcome (fever, shock, and hemorrhagic disorders). Two hypotheses have been proposed to exp...
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Chapter
Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type
The aim of this work is to study the existence of a global attractor for some partial neutral functional differential equations; the convergence of all the solutions to the attractor is given in terms of the a...
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Article
Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
Dengue hemorrhagic fever (DHF) can occur in primary dengue virus infection of infants \(<1\)<1 year of age. To understand the presumed role of maternal dengue-specific antibodies received until birth in the devel...
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Article
Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces
We use a new concept of weighted ergodic function based on the measure theory to investigate the existence and uniqueness of weighted pseudo almost periodic solution for a class of partial functional different...
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Article
Existence and stability in the α-norm for partial functional differential equations of neutral type
In this work, we study a general class of partial neutral functional differential equations. We assume that the linear part generates an analytic semigroup and the nonlinear part is Lipschitz continuous with r...
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Article
Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain
In this work, we are concerned with a general class of abstract semilinear autonomous functional differential equations with a non-dense domain on a Banach space. Our objective is to study, using the Crandall-...
