A Forest Disease and Insect Pests Model which has a Forest Age Structure with Disease Rate Change Functions

DOI

10.2991/bst-17.2018.52How to use a DOI?

Keywords

Forest age structure, Disease rate change function, Threshold, Infected steady state, Stability.

Abstract

This communication mainly covers investigations on the dynamic characteristics of forest diseases and insect pests' model which has a forest age structure with disease rate change functions. Firstly, the age structure model with partial differential equation with the function of the course is established. Secondly, it proves the existence of non-infected and infected steady state model. Finally, the stability and asymptotic stability of the steady state are discussed, and the condition of local asymptotic stability is obtained.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Qiao-Qi Xu
AU  - Ding-Jiang Wang
PY  - 2018/02
DA  - 2018/02
TI  - A Forest Disease and Insect Pests Model which has a Forest Age Structure with Disease Rate Change Functions
BT  - Proceedings of the 2017 2nd International Conference on Biological Sciences and Technology (BST 2017)
PB  - Atlantis Press
SP  - 327
EP  - 331
SN  - 2468-5747
UR  - https://doi.org/10.2991/bst-17.2018.52
DO  - 10.2991/bst-17.2018.52
ID  - Xu2018/02
ER  -