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Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator [PDF]
We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator.
Jana Kopfov'a+3 more
semanticscholar +1 more source
ON SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR
Time scale theory helps us to combine differential equations with difference equations. Especially in models such as biology, medicine and economics, since the independent variable is handled discrete, it requires us to analyze in discrete clusters ...
Ayşe Çiğdem Yar+2 more
semanticscholar +1 more source
Breast cancer (BC) is a malignant tumor with high morbidity and mortality, which seriously threatens women’s health worldwide. Pyroptosis is closely correlated with immune landscape and the tumorigenesis and development of various cancers.
Zitao Wang+5 more
semanticscholar +1 more source
Confining integro-differential equations originating from evolutionary biology: Ground states and long time dynamics [PDF]
We consider nonlinear mutation selection models, known as replicator-mutator equations in evolutionary biology. They involve a nonlocal mutation kernel and a confining fitness potential.
M. Alfaro, Pierre Gabriel, O. Kavian
semanticscholar +1 more source
Construction of stochastic hybrid path integrals using operator methods [PDF]
Stochastic hybrid systems involve the coupling between discrete and continuous stochastic processes. They are finding increasing applications in cell biology, ranging from modeling promoter noise in gene networks to analyzing the effects of ...
P. Bressloff
semanticscholar +1 more source
Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique
In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition
Wei Gao+3 more
semanticscholar +1 more source
The role of costimulatory molecules in glioma biology and immune microenvironment
Background: Extensive research showed costimulatory molecules regulate tumor progression. Nevertheless, a small amount of literature has concentrated on the potential prognostic and therapeutic effects of costimulatory molecules in patients with glioma ...
Ji Wang+7 more
semanticscholar +1 more source
Kolmogorov-Petrovskii-Piskunov (KPP) equation can be regarded as a generalized form of the Fitzhugh-Nagumo, Fisher and Huxley equations which have many applications in physics, chemistry and biology. In this paper, two fractional extended versions of the
Bo Xu, Yufeng Zhang, Sheng Z. Zhang
semanticscholar +1 more source
On the Use of Adaptive Resemblance Terms in Chemical Ecology
Many organisms (mimics) show adaptive resemblance to an element of their environment (model) in order to dupe another organism (operator) for their own benefit.
Christoph von Beeren+2 more
doaj +1 more source
Fraction-of-Time Probability: Advancing Beyond the Need for Stationarity and Ergodicity Assumptions
Time series arising from measurements in many fields of physics, engineering, chemistry, biology, and econometrics, are commonly modeled as sample paths from an ensemble which, together with a probability measure, is called a stochastic process ...
Antonio Napolitano, William A. Gardner
doaj +1 more source