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Modeling the Prey Predator Problem by a Graph Differential Equation

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author Name
Abstract (2. Language): 
In this paper, we introduce new concepts like a pseudo simple graph, product of two graphs and obtain a sufficient condition which will guarantee that the solution of the IVP of a graph differential equation has the same nature as its graph of initial conditions. Further, we model the well known pre-predator problem by graph differential equations and show that the nonlinearity is naturally preserved.
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  • English

REFERENCES

References: 

[1] S.G. Deo, V. Lakshmikantham, and V. Raghavendra. Textbook of Ordinary Differential Equations, 2nd Edition. Tata McGraw Hill Education Private Limited, New Delhi. 1998.
[ 2] J.V. Devi, R.V.G.R. Kumar, and N.G. Babu. On graph differential equations and its asso¬ciated matrix differential equations. Malaya Journal of Mathematik 1 (1) 82-90. 2012.
[3] D.D. Siljak. Dynamic Graphs, Nonlinear Analysis, Hybrid Systems 2, 544-567. 2008.

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