Global Dynamics for a Plant Disease Model Based on Generalized Lyapunov Approach

2021 ◽  
Vol 10 (04) ◽  
pp. 1086-1095
Author(s):  
轩 冷
Keyword(s):  
Plant Disease ◽  
Disease Model ◽  
Global Dynamics ◽  
Lyapunov Approach ◽  
Model Based

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.

scholarly journals GLOBAL DYNAMICS OF A FILIPPOV PLANT DISEASE MODEL WITH AN ECONOMIC THRESHOLD OF INFECTED-SUSCEPTIBLE RATIO

2020 ◽  
Vol 10 (5) ◽  
pp. 2263-2277
Author(s):  
Lihong Huang ◽  
◽  
Huili Ma ◽  
Jiafu Wang ◽  
Chuangxia Huang
Keyword(s):  
Plant Disease ◽  
Disease Model ◽  
Global Dynamics ◽  
Economic Threshold

Hallmarks of Atopic Skin Mimicked In Vitro by Means of a Skin Disease Model Based on FLG Knock-down

2011 ◽  
Vol 39 (5) ◽  
pp. 471-480 ◽  
Author(s):  
Sarah Küchler ◽  
Dominika Henkes ◽  
Katja-Martina Eckl ◽  
Katharina Ackermann ◽  
Johanna Plendl ◽  
...  
Keyword(s):  
Skin Disease ◽  
Disease Model ◽  
Knock Down ◽  
Model Based ◽  
Atopic Skin

A virus-induced kidney disease model based on organ-on-a-chip: Pathogenesis exploration of virus-related renal dysfunctions

Biomaterials ◽  
2019 ◽  
Vol 219 ◽  
pp. 119367 ◽  
Author(s):  
Ji Wang ◽  
Cheng Wang ◽  
Na Xu ◽  
Zheng-Fei Liu ◽  
Dai-Wen Pang ◽  
...  
Keyword(s):  
Kidney Disease ◽  
Disease Model ◽  
Model Based ◽  
Organ On A Chip

scholarly journals Dynamical Analysis of Delayed Plant Disease Models with Continuous or Impulsive Cultural Control Strategies

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Tongqian Zhang ◽  
Xinzhu Meng ◽  
Yi Song ◽  
Zhenqing Li
Keyword(s):  
Control Strategy ◽  
Plant Disease ◽  
Control Strategies ◽  
Disease Model ◽  
Infected Plant ◽  
Transcendental Equation ◽  
Cultural Control ◽  
Dynamical Analysis ◽  
Positive Equilibrium ◽  
Disease Free

Delayed plant disease mathematical models including continuous cultural control strategy and impulsive cultural control strategy are presented and investigated. Firstly, we consider continuous cultural control strategy in which continuous replanting of healthy plants is taken. The existence and local stability of disease-free equilibrium and positive equilibrium are studied by analyzing the associated characteristic transcendental equation. And then, plant disease model with impulsive replanting of healthy plants is also considered; the sufficient condition under which the infected plant-free periodic solution is globally attritive is obtained. Moreover, permanence of the system is studied. Some numerical simulations are also given to illustrate our results.

Persistence and ergodicity of plant disease model with markov conversion and impulsive toxicant input

2017 ◽  
Vol 48 ◽  
pp. 70-84 ◽  
Author(s):  
Wencai Zhao ◽  
Juan Li ◽  
Tongqian Zhang ◽  
Xinzhu Meng ◽  
Tonghua Zhang
Keyword(s):  
Plant Disease ◽  
Disease Model

scholarly journals Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 445
Author(s):  
Fabao Gao ◽  
Jaume Llibre
Keyword(s):  
Differential Equations ◽  
Cosmological Model ◽  
Cosmological Constant ◽  
Qualitative Theory ◽  
Global Dynamics ◽  
Model Based ◽  
Flat Universe

When the cosmological constant is non-zero, the dynamics of the cosmological model based on Hořava–Lifshitz gravity in a non-flat universe are characterized by using the qualitative theory of differential equations.

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