TY - JOUR
T1 - Stability conditions for a non-linear size-structured model
AU - Farkas, JZ
PY - 2005/12
Y1 - 2005/12
N2 - In this paper we consider a general non-linear size-structured population dynamical model with size- and density-dependent fertility and mortality rates and with size-dependent growth rate. Based on M. Farkas (Appl. Math. Comput. 131 (1) (2002) 107-123) we are able to deduce a characteristic function for a stationary solution of the system in a similar way. Then we establish results about the stability (resp. instability) of the stationary solutions of the system.
AB - In this paper we consider a general non-linear size-structured population dynamical model with size- and density-dependent fertility and mortality rates and with size-dependent growth rate. Based on M. Farkas (Appl. Math. Comput. 131 (1) (2002) 107-123) we are able to deduce a characteristic function for a stationary solution of the system in a similar way. Then we establish results about the stability (resp. instability) of the stationary solutions of the system.
KW - Stability
KW - Structured population dynamics
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=uab_pure&SrcAuth=WosAPI&KeyUT=WOS:000232254600009&DestLinkType=FullRecord&DestApp=WOS
U2 - 10.1016/j.nonrwa.2004.06.002
DO - 10.1016/j.nonrwa.2004.06.002
M3 - Article
SN - 1468-1218
VL - 6
SP - 962
EP - 969
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 5
ER -