This paper is concerned mainly with the study of fractional order prey-predator system with time delay analyzing stage structure system, the characteristic equation which deals with the local stability is calculated and the existence of Hopf bifurcation is derived using Routh Hurwitz strategies. The parameter in this paper are fractional order and time delay. They deal with oscillatory behaviour of solutions and by Lyapunov global stability, dynamical value of complex system which are reviewed with incommensurate order. Atlast the numerical examples are used to validate the effectiveness of derived analytic results.
In this paper, the upper bounds for the edge Co-PI indices of Corona product product of two connected graphs is obtained. Finally, we compute the edge Co-PI indices of Tetrameric 1, 3-Adamantane.
Trains are perhaps the most reliable form of transport. They are not only cheap but are also very convenient for long distances. Everyday hundreds of commuters board the trains to reach various destinations. Some people even consider them to be a blessing given the increasing frequency in the number of traffic jams. However, this efficient system of transportation too has some disadvantages. This study deals the problems faced by the passengers while travelling in train and at stations. The findings of the study revealed that poor toilet maintenance and late arrival of train are causing inconveniences to the public. The study concludes that Indian Railway has to take steps to set right the passengers' inconvenience.
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