ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Lower Bound of Blow up Time for Three Species Cooperating Model

Journal of Applied Nonlinear Dynamics 9(3) (2020) 391--400 | DOI:10.5890/JAND.2020.09.004

V. Bhuvaneswari$^{1}$, K. Balachandran$^{2}$

$^{1}$ Department of Mathematics with Computer Applications, PSG College of Arts and Science, Coimbatore 641014, India

$^{2}$ Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

Abstract

In this paper, we consider the initial boundary value problem for the three species cooperating model under various boundary conditions in which the solution may blow up in finite time. Explicit lower bound for blow up time is being obtained by using techniques based on Sobolev type and first order differential inequalities.

Acknowledgments

The first author would like to thank PSG College of Arts and Science, Coimbatore for constant support towards research work and second author is supported by UGC BSR. Further the authors thank the referees for useful comments and valuable suggestions which led to improvement in the quality of this article.

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