A Mathematical Model of Protectant and Curative Fungicide Application and its stability analysis
In this paper we introduce a mathematical model for fungicide application with effect of protectant and curatives factor. We show the value of the Basic Reproduction Number (R0) of the fungal disease, which is computed from the largest eigen value of the next generation matrix of the model. The resu...
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| Veröffentlicht in: | IOP conference series. Earth and environmental science 2016-01, Vol.31 (1), p.12014-12020 |
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| container_title | IOP conference series. Earth and environmental science |
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| creator | Anggriani, N. Istifadah, N. Hanifah, M. Supriatna, A.K. |
| description | In this paper we introduce a mathematical model for fungicide application with effect of protectant and curatives factor. We show the value of the Basic Reproduction Number (R0) of the fungal disease, which is computed from the largest eigen value of the next generation matrix of the model. The result show that in the region where R0 greater than one there is only one single stable endemic equilibrium. However, in region where R0 less than one some parameters affect the number of posibble equilibria. Some numerical simulation are also given to illustrate our analytical results. |
| doi_str_mv | 10.1088/1755-1315/31/1/012014 |
| format | Article |
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| subjects | Computation Computer simulation Earth Fungal diseases Fungicides Mathematical analysis Mathematical models Reproduction Stability analysis |
| title | A Mathematical Model of Protectant and Curative Fungicide Application and its stability analysis |
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