A METHOD BASED ON BIRTH-DEATH PROCESS FOR SIMULATING THE EPIDEMIC SPREAD OF DISEASE IN A COMMUNITY

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MOVAHEDI FATEMEH; ESLAHCHI CHANGIZ; PEZESHK HAMID

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Seminar Paper

Paper Information

Seminar: IRANIAN STATISTICAL CONFERENCE
Year:2014 | Issue:12

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Title

A METHOD BASED ON BIRTH-DEATH PROCESS FOR SIMULATING THE EPIDEMIC SPREAD OF DISEASE IN A COMMUNITY

Author(s)

MOVAHEDI FATEMEH | ESLAHCHI CHANGIZ | PEZESHK HAMID | Issue Writer Certificate

Keywords

NETWORH THEORY

EPIDEMIC

BIRTH AND DEATH PROCESS

GRAPH THEORY

Abstract

DYNAMICAL BEHAVIOR OF DISEASE SPREADING HAS BEEN AN IMPORTANT TOPIC FOR MATHEMATICAL RESEARCH FOR A LONG TIME. THE STANDARD MODELS USE DIFFERENTIAL EQUATIONS TO UNDERSTAND THE BEHAVIOR OF EPIDEMICS AND TO SIMULATE THE EPIDEMIC SPREAD. THE COMMON VARIABLES USED IN SUCH MODELS ARE THE NUMBER OF SUSCEPTIBLE INDIVIDUALS, THE NUMBER OF INFECTED INDIVIDUALS AND THE NUMBER OF REMOVED INDIVIDUALS. IN THIS WORK, A NEW METHOD IS PROPOSED FOR SIMULATING THE DYNAMIC OF DISEASE IN A COMMUNITY BY BIRTH AND DEATH PROCESS.RECENTLY, MANY MODELS HAVE BEEN DEVELOPED TO COMPUTE THE EPIDEMIC DYNAMICS CONSIDERING THE ROLE OF INFECTIOUS INDIVIDUALS BASED ON THE NETWORK THEORY. IN THIS PAPER, WE USE THE NETWORK THEORY AND PRESENT A METHOD TO OBTAIN THE MINIMUM NUMBER OF INDIVIDUALS TO BE BLOCKED OR REMOVED FROM THE NETWORK IN ORDER TO CONTROL THE SPREAD OF THE DISEASE IN THE REMAINING POPULATION NETWORK. WE INTRODUCE A HEURISTIC METHOD TO FIND SUCH SUBSET OF INDIVIDUALS. FINALLY WE TEST OUR METHOD ON TWO SIMULATING NETWORKS.

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APA: Copy

MOVAHEDI, FATEMEH, ESLAHCHI, CHANGIZ, & PEZESHK, HAMID. (2014). A METHOD BASED ON BIRTH-DEATH PROCESS FOR SIMULATING THE EPIDEMIC SPREAD OF DISEASE IN A COMMUNITY. IRANIAN STATISTICAL CONFERENCE. SID. https://sid.ir/paper/920267/en

Vancouver: Copy

MOVAHEDI FATEMEH, ESLAHCHI CHANGIZ, PEZESHK HAMID. A METHOD BASED ON BIRTH-DEATH PROCESS FOR SIMULATING THE EPIDEMIC SPREAD OF DISEASE IN A COMMUNITY. 2014. Available from: https://sid.ir/paper/920267/en

IEEE: Copy

FATEMEH MOVAHEDI, CHANGIZ ESLAHCHI, and HAMID PEZESHK, “A METHOD BASED ON BIRTH-DEATH PROCESS FOR SIMULATING THE EPIDEMIC SPREAD OF DISEASE IN A COMMUNITY,” presented at the IRANIAN STATISTICAL CONFERENCE. 2014, [Online]. Available: https://sid.ir/paper/920267/en

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