Geodesic
STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 1-17

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We continue the study of a mathematical model for a forest ecosystem which has been presented by Y. A. Kuznetsov, M. Y. Antonovsky, V. N. Biktashev and A. Aponina (A cross-diffusion model of forest boundary dynamics, J. Math. Biol. 32 (1994), 219–232). In the preceding two papers (L. H. Chuan and A. Yagi, Dynamical systemfor forest kinematic model, Adv. Math. Sci. Appl. 16 (2006), 393–409; L. H. Chuan, T. Tsujikawa and A. Yagi, Aysmptotic behavior of solutions for forest kinematic model, Funkcial. Ekvac. 49 (2006), 427–449), the present authors already constructed a dynamical system and investigated asymptotic behaviour of trajectories of the dynamical system. This paper is then devoted to studying not only the structure (including stability and instability) of homogeneous stationary solutions but also the existence of inhomogeneous stationary solutions. Especially it shall be shown that in some cases, one can construct an infinite number of discontinuous stationary solutions.
DOI : 10.1017/S0017089508004485
Mots-clés : 35J60, 37L15, 37N25 
CHUAN, LE HUY; TSUJIKAWA, TOHRU; YAGI, ATSUSHI. STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 1-17. doi: 10.1017/S0017089508004485
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