An analysis of Mettur Dam inflow and outflow using subcritical branching systems

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Authors :

A. Arul Selvi 1 * and P. Senthil Kumar 2

Author Address :

1 Department of Mathematics, Sengamala Thayaar Educational Trust Women’s College, Affiliated to Bharathidasan University, Mannargudi-614016, Tamil Nadu, India.
2 Department of Mathematics, Rajah Serfoji Government College, Affiliated to Bharathidasan University, Thanjavur-613006, Tamil Nadu, India.

*Corresponding author.

Abstract :

Water deficiency, both natural and of human life, is the shortage of satisfactory available water advantages for satisfy the necessities inside a region. Water is conflicting passed on after some existence. A ton of it is wasted, debased and absurdly regulated \cite{ref9}. So we constructed Dam for putting away water is a notable procedure to forestall water shortage. We consider a branching system comprising of elements migrating as indicated by a Markov system into $R^{d} $ by experiencing subcritical branching by means of a constant pace $\nu >0.$ It is noted, $\left(\eta _{t} ,{\rm P} _{x} \right)_{t\ge 0} $ has signify the dam procedure though the data about the water is evolving subcritical branching systems.

Keywords :

Water level, inflow, outflow, subcritical branching systems by migration, subcritical branching law.

DOI :

10.26637/MJM0804/0008

Article Info :

Received : May 18, 2020; Accepted : August 22, 2020.