MR2538277
Gianluca MOLA and Atsushi YAGI
Gianluca MOLA and Atsushi YAGI
A Forest Model with Memory
Funkcialaj Ekvacioj. Serio Internacia
52
2009
19--40
http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-1/52_19.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2538277
We are concerned with a forest kinetic model with memory. In 1994 Kuznetsov et al. [6] has presented a mathematical model describing the kinetics of forest given by a system of ordinary and diffusion equations. This paper handles a generalized model of them which includes a memory effect in the process of establishment of seeds in the air. We shall prove the global existence and shall construct a dynamical system determined from the generalized model. It is also shown that the dynamical system possesses a bounded absorbing set. These results are then generalization of those obtained in [1,8] for the case of no memory.
Dynamical System, Memory, Forest Model.
37N25, 35K65.
52-19
2009
A Forest Model with Memory
Gianluca MOLA and Atsushi YAGI
Gianluca MOLA and Atsushi YAGI
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