THE ROLE OF DELAY IN DIGESTION OF PLANKTON BY FISH POPULATION A FISHERY MODEL
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Authors
JOYDIP DHAR
- Department of Applied Sciences, ABV-Indian Institute of Information Technology and Management, Gwalior-474 010, M.P, INDIA..
ANUJ KUMAR SHARMA
- Department of Mathematics, L.R.D.A.V. College, Jagraon-142026, Ludhiana, Punjab, INDIA..
SANDEEP TEGAR
- School of Mathematics and Allied Sciences, Jiwaji University, Gwalior- 474011, M.P., INDIA..
Abstract
In this Paper we have developed a model in which the revenue is
generated from fishing and the growth of fish depends upon the plankton which
in turn grows logistically. The conditions for the persistence of system around
non zero equilibrium have been found out using average Liapnouv function after
establishing existence and boundedness of the solution. Then we formulated a
model with delay in digestion of plankton by fish. Further the the threshold
value of conversional parameter has been found out for hopf-bifurcation. The
phenomena of hopf-bifurcation is demonstrated using graphs.
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ISRP Style
JOYDIP DHAR, ANUJ KUMAR SHARMA, SANDEEP TEGAR, THE ROLE OF DELAY IN DIGESTION OF PLANKTON BY FISH POPULATION A FISHERY MODEL, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 1, 13-19
AMA Style
DHAR JOYDIP, SHARMA ANUJ KUMAR, TEGAR SANDEEP, THE ROLE OF DELAY IN DIGESTION OF PLANKTON BY FISH POPULATION A FISHERY MODEL. J. Nonlinear Sci. Appl. (2008); 1(1):13-19
Chicago/Turabian Style
DHAR, JOYDIP, SHARMA , ANUJ KUMAR, TEGAR, SANDEEP. "THE ROLE OF DELAY IN DIGESTION OF PLANKTON BY FISH POPULATION A FISHERY MODEL." Journal of Nonlinear Sciences and Applications, 1, no. 1 (2008): 13-19
Keywords
- Fishery Model
- Stability
- Delay
- Hopf-bifurcation
MSC
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