Global dynamics of Filippov‐type plant disease models with an interaction ratio threshold

2020 ◽  
Vol 43 (11) ◽  
pp. 6995-7008
Author(s):  
Wenxiu Li ◽  
Lihong Huang ◽  
Jiafu Wang
Keyword(s):  
Plant Disease ◽  
Disease Models ◽  
Global Dynamics ◽  
Filippov Type

Non-smooth plant disease models with economic thresholds

2013 ◽  
Vol 241 (1) ◽  
pp. 34-48 ◽  
Author(s):  
Tingting Zhao ◽  
Yanni Xiao ◽  
Robert J. Smith
Keyword(s):  
Plant Disease ◽  
Disease Models ◽  
Economic Thresholds

Use of systems analysis to develop plant disease models based on literature data: grape black-rot as a case-study

2014 ◽  
Vol 141 (3) ◽  
pp. 427-444 ◽  
Author(s):  
Vittorio Rossi ◽  
Giovanni Onesti ◽  
Sara E. Legler ◽  
Tito Caffi
Keyword(s):  
Systems Analysis ◽  
Plant Disease ◽  
Disease Models ◽  
Black Rot ◽  
Grape Black Rot

Modeling the effects of cross-protection control in plant disease with seasonality

2017 ◽  
Vol 10 (06) ◽  
pp. 1750088
Author(s):  
Shujing Gao ◽  
Lijun Xia ◽  
Jialin Wang ◽  
Zujin Zhang
Keyword(s):  
Plant Disease ◽  
Virus Disease ◽  
Disease Model ◽  
Sufficient Conditions ◽  
Integral Form ◽  
Cross Protection ◽  
Global Dynamics ◽  
Virus Diseases ◽  
Virus Isolates ◽  
Plant Virus Disease

Cross-protection in plants has been widely used to control losses caused by virus diseases in the world. Here, a non-autonomous plant-virus disease model was developed including cross-protection. Global dynamics of the model was discussed. Under the quite weak assumptions, integral form conditions were resolved for permanence of the system and extinction of diseases. Furthermore, we looked into the sufficient conditions that plants could be protected against the detrimental effects of infection by an infection with the mild virus isolates. Last, we performed numerical simulations. Our investigations suggested that cross-protection played an important role in controlling the spread of the challenging virus in plants.

Dynamic analysis of discontinuous plant disease models with a non-smooth separation line

2019 ◽  
Vol 99 (2) ◽  
pp. 1675-1697
Author(s):  
Wenxiu Li ◽  
Lihong Huang ◽  
Jiafu Wang
Keyword(s):  
Dynamic Analysis ◽  
Plant Disease ◽  
Disease Models ◽  
Separation Line
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