Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions
نویسندگان
چکیده
منابع مشابه
Optimal control of information epidemics modeled as Maki Thompson rumors
We model the spread of information in a homogeneously mixed population using the Maki Thompson rumor model. We formulate an optimal control problem, from the perspective of single campaigner, to maximize the spread of information when the campaign budget is fixed. Control signals, such as advertising in the mass media, attempt to convert ignorants and stiflers into spreaders. We show the existe...
متن کاملRenormalization Group Technique for Asymptotic Behavior of a Thermal Diffisive Model with Critical Nonlinearity
where x ∈ R, u is the temperature, v is the mass fraction of the reactant A; Λ is the Lewis number, strictly positive; f(u) is an Arrehnius reaction term of the form e− E u , with E being the activation constant. There have been many studies on system (1.1) for front like L∞ data. Existence, stability and instability of traveling waves can be found in [5], [15], [16] among others; and related C...
متن کاملAsymptotic Model Selection for Directed Networks with Hidden Variables
We extend the Bayesian Information Criterion (BIC), an asymptotic approximation for the marginal likelihood, to Bayesian networks with hidden variables. This approximation can be used to select models given large samples of data. The standard BIC as well as our extension punishes the complexity of a model according to the dimension of its parameters. We argue that the dimension of a Bayesian ne...
متن کاملRNA matrix models with external interactions and their asymptotic behavior.
We study a matrix model of RNA in which an external perturbation on n nucleotides is introduced in the action of the partition function of the polymer chain. The effect of the perturbation appears in the exponential generating function of the partition function as a factor exp(1-nalpha/L) (where alpha is the ratio of strengths of the original to the perturbed term and L is the length of the cha...
متن کاملAsymptotic behavior of a metapopulation model
We study the behavior of an infinite system of ordinary differential equations modeling the dynamics of a metapopulation, a set of (discrete) populations subject to local catastrophes and connected via migration under a mean field rule; the local population dynamics follow a generalized logistic law. We find a threshold below which all the solutions tend to total extinction of the metapopulatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2019
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.123402