Page 36 - 2020

M.Phil.
(Sciences)
STUDY OF MATHEMATICAL MODELS

Ph.D. Scholar : Rajeshriben K. Prajapati
Research Supervisor : Dr. N. S. Rabari

Regi. No.: 18065201001
Abstract :
Mathematical Modelling consists of, translating real world problem into mathematical
problem, and then solving the mathematical problem, and interpret at solution of this
problem in the language of real world.
In Mathematical model on Anarchy Control in Two dimensional Prey Predator Model
probable suppression of anarchy on x-y plane and the corresponding graphs, on attaining
equilibrium position, are called trajectories and in Mathematical model on Modelling Inter
specific Competition between one prey and two predators The predator prey relationship
develops over time as many generations of each species interact. In doing so, they a ect
the success and survival of each other’s species. The process of evolution selects for
adaptations which increase the fitness of each population. Scientists studying population
dynamics, or changes in populations over time, have noticed that predator prey
relationships greatly a ect the populations of each species, and that because of the
predator prey relationship, these population fluctuations are linked. In Mathematical
model on Volleyball game Volleyball is a team sport in which two teams of six players are
separated by a net. Each team tries to score points by grounding a ball on the other
team's court under organized rules.

Key words: The Prey – predator Model, Anarchy Control, trajectory, The Court of
Volleyball.

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