This paper addresses a modified epidemic model with saturated incidence and incomplete treatment. The existence of all equilibrium points is analyzed. A reproduction number R0 determined. Next, it found that the non-endemic point P0 stable in case R0<1, but unstable R0>1. special conditions to analyze local global stability endemic are investigated. Globally, sensitivity analysis system s...

The central objective of this paper is to deliver an intergenerational Life Cycle model considering the retirement process based on pay-as-you-go system (PAYG). Our inspired by Baranzinis’ approach, where optimal consumption analysis made in a two-class type and restricted capital variation each one. main results observe equilibrium solution stock both classes conclude that PAYG does interfere ...

Fuzzy ARTMAP is one of the families of the neural network architectures bused on ART(Adaptive Resonance Theory) in which supervised learning can be curried out. However, it usually tends to create more categories than are actually needed. This often causes the so culled overfitting problem, namely the performunce of the networks in test set is not monotonically increasing with the additional tr...

In this paper we examine the application of hierarchical fuzzy control and evolutionary algorithms to find closed-loop control solutions of the optimal control problem arising from semi-discretisation of a linear parabolic tracking problem with boundary control. The solution is compared with that obtained by closedloop methods based upon the variational equations of the Minimum Principle and th...

The minimum description length (MDL) principle states that one should prefer the model that yields the shortest description of the data when the complexity of the model itself is also accounted for. MDL provides a versatile approach to statistical modeling. It is applicable to model selection and regularization. Modern versions of MDL lead to robust methods that are well suited for choosing an ...

The purpose of this paper is to provide an a]ternate statement of the Pontryagin maximum principle as applied to systems which are most conveniently and naturally described by matrix, rather than vector, differential or difference equations. The use of gradient matrices facilitates the manipulation of the resultant equations. The ~heory is applied to the solution of a simple optimization problem.