Global stability of an SEI model for plant diseases

Chen, Yuming; Yang, Junyuan

doi:10.1515/ms-2015-0137

Cited by 7 publications

(5 citation statements)

References 11 publications

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“…Mathematical models of plant-virus and plant-vector-virus models have provided insight into effective methods for reduction of disease incidence and for increase in plant productivity (e.g. [5,6,10,11,[13][14][15]24,29,35]). Several plant-vector-virus models have been specifically applied to ACMV (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…More theoretical mathematical analyses of plant models have studied global stability of endemic states and the effect of generic roguing/replanting strategies [6,21,29,32]. In [6], an SEI epidemic model of plant viral diseases incorporating disease latency, roguing, and constant recruitment in both the healthy and infected plants is analyzed. In [29], a plant-vector virus model is analysed that incorporates infection of healthy plants by infective vectors or by infected plants.…”

Section: Introductionmentioning

confidence: 99%

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Optimal control of a vectored plant disease model for a crop with continuous replanting

Bokil

Allen

Jeger

et al. 2019

Journal of Biological Dynamics

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Vector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of selection of cuttings, roguing, and insecticide use on disease prevalence in plants. Previous models are extended to include two replanting strategies: frequencyreplanting and abundance-replanting. In frequency-replanting, replanting of infected cuttings depends on the selection frequency parameter , whereas in abundance-replanting, replanting depends on plant abundance via a selection rate parameter also denoted as. The two models are analysed and new thresholds for disease elimination are defined for each model. Parameter values for cassava, whiteflies, and African cassava mosaic virus serve as a case study. A numerical sensitivity analysis illustrates how the equilibrium densities of healthy and infected plants vary with parameter values. Optimal control theory is used to investigate the effects of roguing and insecticide use with a goal of maximizing the healthy plants that are harvested. Differences in the control strategies in the two models are seen for large values of. Also, the combined strategy of roguing and insecticide use performs better than a single control.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal control of a vectored plant disease model for a crop with continuous replanting

Bokil

Allen

Jeger

et al. 2019

Journal of Biological Dynamics

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“…The models for plant disease transmission were constructed by conducting various interventions to control the spread and suppress the risk of infection. Roguing is the most used intervention to suppress the possibility of disease transmission [14,59,74,75]. Roguing is conducted by removing the in-fected plants to stop the transmission through vectors.…”

Section: Results Of Systematic Literature Reviewmentioning

confidence: 99%

Study of Mathematical Modeling for Plant Disease Transmission: A Systematic Literature Review during 2012-2022

Tresna

Anggriani

Supriatna

2023

Jambura J. Biomath.

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Many models representing disease transmission have been constructed and analyzed mathematically. However, literature studies on the mathematical models for vector-borne disease are sparse, especially on the plant disease transmission model. This study aims to obtain information about the research conducted and find room for developing the model, including mathematical analysis, intervention used, and biological factors considered. We employ a Systematic Literature Review (SLR) to explore all of the studies on plant disease transmission modeling collected from four digital databases. First, the JabRef reference manager helps conduct the inclusion and exclusion processing. Then, we obtain 60 selected articles that passed the criterion. Next, the VOSviewer application is resulting a bibliometric analysis of the database containing chosen articles. Finally, we classify the model constructed based on the system used and elaborate on the intervention used. The results show that the existing researcher clusters are not linked to each other, and the models only consider usual interventions such as roguing and insecticide spraying. Hence, there is much room to build collaboration between the researcher and develop models for plant disease transmission by considering the other various intervention and biological factors in the model to improve further.

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“…Including a latent period in the model formulation adds some complexity to both the analysis and interpretation of results. In the case where new plants are introduced into the system, a proportion of these may be infected but not showing symptoms [ 59 ]. This changes the interpretation of R 0 .…”

Section: Epidemiology and Disease Controlmentioning

confidence: 99%

The Epidemiology of Plant Virus Disease: Towards a New Synthesis

Jeger

2020

Plants

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Epidemiology is the science of how disease develops in populations, with applications in human, animal and plant diseases. For plant diseases, epidemiology has developed as a quantitative science with the aims of describing, understanding and predicting epidemics, and intervening to mitigate their consequences in plant populations. Although the central focus of epidemiology is at the population level, it is often necessary to recognise the system hierarchies present by scaling down to the individual plant/cellular level and scaling up to the community/landscape level. This is particularly important for diseases caused by plant viruses, which in most cases are transmitted by arthropod vectors. This leads to range of virus-plant, virus-vector and vector-plant interactions giving a distinctive character to plant virus epidemiology (whilst recognising that some fungal, oomycete and bacterial pathogens are also vector-borne). These interactions have epidemiological, ecological and evolutionary consequences with implications for agronomic practices, pest and disease management, host resistance deployment, and the health of wild plant communities. Over the last two decades, there have been attempts to bring together these differing standpoints into a new synthesis, although this is more apparent for evolutionary and ecological approaches, perhaps reflecting the greater emphasis on shorter often annual time scales in epidemiological studies. It is argued here that incorporating an epidemiological perspective, specifically quantitative, into this developing synthesis will lead to new directions in plant virus research and disease management. This synthesis can serve to further consolidate and transform epidemiology as a key element in plant virus research.

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Global stability of an SEI model for plant diseases

Cited by 7 publications

References 11 publications

Optimal control of a vectored plant disease model for a crop with continuous replanting

Optimal control of a vectored plant disease model for a crop with continuous replanting

Study of Mathematical Modeling for Plant Disease Transmission: A Systematic Literature Review during 2012-2022

The Epidemiology of Plant Virus Disease: Towards a New Synthesis

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