TY - JOUR
T1 - A nutrient-prey-predator model with intratrophic predation
AU - Jang, S. J.
AU - Baglama, J.
PY - 2002/7/10
Y1 - 2002/7/10
N2 - A simple food chain which consists of nutrient, prey and predator with intratrophic predation of the predator is proposed and analyzed. The dynamics of the model depend on the basic reproductive numbers of the prey and predator. Intratrophic predation can have impact on the system only if the basic reproductive number of the predator is greater than 1. In this case, the system may have multiple coexisting equilibria. However, intratrophic predation can stabilize the system when such an equilibrium is unique. Moreover, it can elevate the magnitude of the prey population and diminish the level of nutrient concentration of any coexisting equilibrium.
AB - A simple food chain which consists of nutrient, prey and predator with intratrophic predation of the predator is proposed and analyzed. The dynamics of the model depend on the basic reproductive numbers of the prey and predator. Intratrophic predation can have impact on the system only if the basic reproductive number of the predator is greater than 1. In this case, the system may have multiple coexisting equilibria. However, intratrophic predation can stabilize the system when such an equilibrium is unique. Moreover, it can elevate the magnitude of the prey population and diminish the level of nutrient concentration of any coexisting equilibrium.
KW - Cannibalism
KW - Intratrophic predation
KW - Persistence
KW - Thresholds
UR - http://www.scopus.com/inward/record.url?scp=0037054955&partnerID=8YFLogxK
U2 - 10.1016/S0096-3003(01)00060-1
DO - 10.1016/S0096-3003(01)00060-1
M3 - Article
AN - SCOPUS:0037054955
SN - 0096-3003
VL - 129
SP - 517
EP - 536
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2-3
ER -