A Forest Model with Memory

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概要

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• 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.

著者

• Mola Gianluca

  Politecnico di Milano

• Yagi Atsushi

  Osaka University

関連論文

• A Forest Model with Memory
• Global Stability of Approximation for Exponential Attractors
• Complete Abstract Differential Equations of Elliptic Type in UMD Spaces
• On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type
• Asymptotic Behavior of Solutions for Forest Kinematic Model
• A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications
• On the Solvability of Complete Abstract Differential Equations of Elliptic Type

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