| Autor: |
Maji, Banamali, Bhattacharyya, Joydeb, Pal, Samares |
| Předmět: |
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| Zdroj: |
Letters in Biomathematics; Dec2016, Vol. 3 Issue 1, p119-139, 21p |
| Abstrakt: |
The invasion of predatory lionfish (Pterois volitans) represents a major threat to the western Atlantic coral reef ecosystems. The proliferation of venomous, fast reproducing and aggressiveP. volitansin coral reefs causes severe declines in the abundance and diversity of reef herbivores. There is also widespread cannibalism amongstP. volitanspopulations. A mathematical model is proposed to study the effects of predation on the biomass of herbivorous reef fishes by considering two life stages and intraguild predation ofP. volitanspopulation with harvesting of adultP. volitans. The system undergoes a supercritical Hopf bifurcation when the invasiveness ofP. volitanscrosses a certain critical value. It is observed that cannibalism ofP. volitansinduces stability in the system even with high invasiveness of adultP. volitans. The dynamic instability of the system due to higher invasiveness ofP. volitanscan be controlled by increasing the rate of harvesting ofP. volitans. It is also proven thatP. volitansgoes extinct when the harvest rate is greater than some critical threshold value. These results indicate that the dynamical behaviour of the model is very sensitive to the harvesting ofP. volitans, which in turn is useful in the conservation of reef herbivores. [ABSTRACT FROM PUBLISHER] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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