Mathematical Analysis and Design of the Nonstandard Computational Method for an Epidemic Model of Computer Virus with Delay Effect: Application of Mathematical Biology in Computer Science

This paper reports on a primary metric tool developed in a collaboration between an architecture researcher and a computer science researcher. The development of this tool emerged from the concept that the spatial openness (SO)—the volume of free space measured from all possible observation points—is an important quality indicator of alternative spatial configurations within given constraints; this concept is based on the idea that the geometry and morphology of the built-up environment influence perception. Previous work showed that comparative SO measurements in alternative spatial configurations are correlated with the comparative perceived density, and in particular that a higher value of SO indicates a lower perceived density. We present a feasible 3D computational method for measuring SO and demonstrate its potential use in the design process. The SO metric is a step towards the development of quantitative comparative evaluation of building shapes and spatial configurations related to the 3D observation of open space.

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Abstrakcja, obiekty i cywilizacja globalna

Forum Philosophicum ◽

10.35765/forphil.2004.0901.12 ◽

1970 ◽

Vol 9 (1) ◽

pp. 203-216

Author(s):

Robert Janusz

Keyword(s):

Complex Systems ◽

Computer Science ◽

Logical Analysis ◽

The Other ◽

Analysis And Design ◽

Other Hand ◽

Exact Description

The article is about an interaction between philosophy and informatics. The discussion is based on a complex example - a country, which has an evolving domain. In contemporary computer science very complex systems are modeled. However it would be impossible to model such systems with every detail, because it would be too difficult, it would be as complex as the reality itself. Frequently complex domains don't have an exact description of their behavior: some have an inadequate description, some have a contradictory one. To model such complex domains a computer science specialist acts like a philosopher: makes classifications, explanations, etc. On the other hand there have to be some philosophical presuppositions - a conviction that a logical analysis and design will work in the domain being modeled: a postulate is introduced that logos is able to capture-in the reality. The descriptions are continuously purified from irrational influences.

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Mathematical analysis of an influenza A epidemic model with discrete delay

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.030 ◽

2017 ◽

Vol 324 ◽

pp. 155-172 ◽

Cited By ~ 7

Author(s):

P. Krishnapriya ◽

M. Pitchaimani ◽

Tarynn M. Witten

Keyword(s):

Mathematical Analysis ◽

Epidemic Model ◽

Influenza A ◽

Discrete Delay

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A STUDY OF SCHISTOSOME TRANSMISSION DYNAMICS AND ITS CONTROL

Journal of Biological System ◽

10.1142/s0218339006001799 ◽

2006 ◽

Vol 14 (02) ◽

pp. 295-302 ◽

Cited By ~ 2

Author(s):

PRASENJIT DAS ◽

DEBASIS MUKHERJEE ◽

A. K. SARKAR

Keyword(s):

Numerical Simulations ◽

Mathematical Analysis ◽

Control Measure ◽

Model Analysis ◽

Unstable Equilibrium ◽

Control Measures ◽

Transmission Dynamics ◽

Delay Effect

This article concentrates on the study of delay effect on a model of schistosomiasis transmission with control measures such as predation or harvesting and chemotherapy. In the presence of predation or harvesting and chemotherapy, system admits multiple endemic equilibria. Mathematical analysis shows that they are opposite in nature regarding stability. One may observe switching phenomena for the unstable equilibrium by incorporating delay. The disease may be highly endemic if there is no control measure, which is obvious from the model analysis. Results obtained in this paper are also verified through numerical simulations.

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