Assessing inference of the basic reproduction number in an SIR model incorporating a growth-scaling parameter.
Sign Up to like & getrecommendations! Published in 2018 at "Statistics in medicine"
DOI: 10.1002/sim.7935
Abstract: The standard mass action, which assumes that infectious disease transmission occurs in well-mixed populations, is popular for formulating compartmental epidemic models. Compartmental epidemic models often follow standard mass action for simplicity and to gain insight… read more here.
Keywords: reproduction number; growth scaling; mass action; basic reproduction ... See more keywords
Oscillations in Planar Deficiency-One Mass-Action Systems
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DOI: 10.1007/s10884-021-10051-z
Abstract: Whereas the positive equilibrium of a planar mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly involving oscillatory behaviour. We present several examples, with centers or… read more here.
Keywords: mass action; deficiency; deficiency one; oscillations planar ... See more keywords
Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-019-01005-4
Abstract: Recasting the rate equations of mass-action chemical kinetics into universal formats is a potentially useful strategy to rationalize typical features that are observed in the space of the species concentrations. For example, a remarkable feature… read more here.
Keywords: mass action; reaction networks; open chemical; chemical reaction ... See more keywords
A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-018-00562-0
Abstract: We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. Our main results state that (1) if the underlying generalized chemical reaction network has an effective deficiency… read more here.
Keywords: mass action; positive equilibria; reaction; deficiency based ... See more keywords
On describing the equilibria in mixed solutions of polyelectrolytes and simple salts using the law of mass action
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Molecular Liquids"
DOI: 10.1016/j.molliq.2016.09.122
Abstract: Abstract The validity of the law of mass action in its simplest form (using only the molar concentration) was examined for the case of the binding of counterions to polyions in mixed solutions of a… read more here.
Keywords: mass action; law mass; salt;
Transition states and entangled mass action law
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DOI: 10.1016/j.rinp.2021.103922
Abstract: Abstract The classical approaches to the derivation of the (generalized) Mass Action Law (MAL) assume that the intermediate transition state (i) has short life time and (ii) is in partial equilibrium with the initial reagents… read more here.
Keywords: transition; mass action; action law;
A macro‐ecological approach to predation density‐dependence
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DOI: 10.1111/oik.08043
Abstract: Predation often deviates from the law of mass action: many microand meso-scale experiments have shown that consumption saturates with resource abundance, and decreases due to interference between consumers. But does this observation hold at macro-ecological… read more here.
Keywords: predation density; macro ecological; predation; approach predation ... See more keywords