Abstract
Two models for the interaction of susceptible and infected Tilapia population with Pelican population are studied. Here, we considered that Pelican interact with both susceptible and infected Tilapia in proportion to their abundance. Stability near nonzero equilibria is presented. In the second model, time delay is incorporated in the disease transmission term and Hopf bifurcation is analyzed by taking time delay as a bifurcation parameter. Numerical simulations are performed to support the analytical results.
Original language | English |
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Article number | 1350003 |
Journal | Journal of Biological Systems |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2013 |
Keywords
- Hopf Bifurcation
- Infected Tilapia
- Pelican
- Stability
- Susceptible Tilapia
- Switching
- Time Delay
ASJC Scopus subject areas
- Ecology
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics