Abstract
We studied a switching mathematical model for the interaction of prey (bird), mesopredator (rabbit) and superpredator (cat). Bird and rabbit population are more prone to cat population at higher densities. The stability analysis is carried out for seven equilibrium values. We find out conditions under which these three species co-exist and discuss the way to save bird population. The theoretical results are compared with the numerical results for a set of values.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IASTED International Conference on Modelling and Simulation |
| Pages | 172-177 |
| Number of pages | 6 |
| Publication status | Published - 2008 |
| Event | 19th IASTED International Conference on Modelling and Simulation, MS 2008 - Quebec City, QC, Canada Duration: May 26 2008 → May 28 2008 |
Other
| Other | 19th IASTED International Conference on Modelling and Simulation, MS 2008 |
|---|---|
| Country | Canada |
| City | Quebec City, QC |
| Period | 5/26/08 → 5/28/08 |
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Keywords
- Control strategies
- Predator
- Prey
- Stability
- Switching
ASJC Scopus subject areas
- Computer Science Applications
- Software
- Modelling and Simulation
Cite this
Birds, rabbits and cats interaction model with switching strategy of opportunistic cats. / Khan, Qamar J A; Al-Lawatia, Mohamed A.
Proceedings of the IASTED International Conference on Modelling and Simulation. 2008. p. 172-177.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Birds, rabbits and cats interaction model with switching strategy of opportunistic cats
AU - Khan, Qamar J A
AU - Al-Lawatia, Mohamed A.
PY - 2008
Y1 - 2008
N2 - We studied a switching mathematical model for the interaction of prey (bird), mesopredator (rabbit) and superpredator (cat). Bird and rabbit population are more prone to cat population at higher densities. The stability analysis is carried out for seven equilibrium values. We find out conditions under which these three species co-exist and discuss the way to save bird population. The theoretical results are compared with the numerical results for a set of values.
AB - We studied a switching mathematical model for the interaction of prey (bird), mesopredator (rabbit) and superpredator (cat). Bird and rabbit population are more prone to cat population at higher densities. The stability analysis is carried out for seven equilibrium values. We find out conditions under which these three species co-exist and discuss the way to save bird population. The theoretical results are compared with the numerical results for a set of values.
KW - Control strategies
KW - Predator
KW - Prey
KW - Stability
KW - Switching
UR - http://www.scopus.com/inward/record.url?scp=62549141867&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62549141867&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:62549141867
SN - 9780889867420
SP - 172
EP - 177
BT - Proceedings of the IASTED International Conference on Modelling and Simulation
ER -