- Volume 54 Issue 3
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STABILITY ANALYSIS OF A HOST-VECTOR TRANSMISSION MODEL FOR PINE WILT DISEASE WITH ASYMPTOMATIC CARRIER TREES
- Lashari, Abid Ali (Department of Mathematics, Stockholm University) ;
- Lee, Kwang Sung (Institute for Liberal Arts Education, Dongseo University)
- Received : 2016.05.05
- Published : 2017.05.01
A deterministic model for the spread of pine wilt disease with asymptomatic carrier trees in the host pine population is designed and rigorously analyzed. We have taken four different classes for the trees, namely susceptible, exposed, asymptomatic carrier and infected, and two different classes for the vector population, namely susceptible and infected. A complete global analysis of the model is given, which reveals that the global dynamics of the disease is completely determined by the associated basic reproduction number, denoted by
mathematical model;pine wilt disease;basic reproduction number;global stability
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