Modeling of Prey Predator Problem by a Graph Dierential Equation

J Vasundhara Devi, R V.G Ravi Kumar


Abstract : In this paper, we introduce new concepts like a pseudo simple
graph, product of two graphs and obtain a sucient condition which will
guarantee that the solution of the IVP of a graph dierential equation has
the same nature as its graph of initial conditions. Further, we model the well
known prey-predator problem by graph dierential equations and show that
the nonlinearity is naturally preserved.


Simple Graph, Pseudo simple graph, product of graphs, graph dierential equation and prey predator model.

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