| dc.contributor.author |
Dubey, Balram |
|
| dc.date.accessioned |
2024-10-04T10:40:59Z |
|
| dc.date.available |
2024-10-04T10:40:59Z |
|
| dc.date.issued |
2014-06 |
|
| dc.identifier.uri |
https://www.pvamu.edu/mathematics/wp-content/uploads/sites/49/14_dubey-aam-r589-bd-021213-final-12-26-13.pdf |
|
| dc.identifier.uri |
http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/15759 |
|
| dc.description.abstract |
In this paper, a new mathematical model has been proposed and analyzed to study the interaction
of phytoplankton- zooplankton-fish population in an aquatic environment with Holloing’s types
II, III and IV functional responses. It is assumed that the growth rate of phytoplankton depends
upon the constant level of nutrient and the fish population is harvested according to CPUE (catch
per unit effort) hypothesis. Biological and bionomical equilibrium of the system has been
investigated. Using Pontryagin’s Maximum Principal, the optimal harvesting policy is discussed.
Chaotic nature and bifurcation analysis of the model system for a control parameter have been
observed through a numerical simulation |
en_US |
| dc.language.iso |
en |
en_US |
| dc.publisher |
AAM |
en_US |
| dc.subject |
Mathematics |
en_US |
| dc.subject |
Stability |
en_US |
| dc.subject |
Control variable |
en_US |
| dc.subject |
Maximum sustainable yield |
en_US |
| dc.subject |
Chaotic behavior |
en_US |
| dc.subject |
Bifurcations |
en_US |
| dc.title |
Dynamics of Phytoplankton, Zooplankton and Fishery Resource Model |
en_US |
| dc.type |
Article |
en_US |