Optimal control of maize foliar diseases using the plants population dynamics

Collins, Obiora Cornelius; Duffy, Kevin J.

doi:10.1080/09064710.2015.1061588

Cited by 12 publications

(13 citation statements)

References 11 publications

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“…These resources are consumed by herbivores, the consumers (Y ). P is the density of pathogen in the environment [12,14,35,44]. The pathogen attack the plants with the capacity of causing damage which prevents consumers feeding on them.…”

Section: Models and Methodsmentioning

confidence: 99%

Consumer-resource coexistence as a means of reducing infectious disease

Duffy

Collins

2019

Journal of Biological Dynamics

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Maintaining sustainable ecosystems are important for all the inhabitants of earth. Also, an important component of sustainable ecosystems is the maintenance of healthy coexistence of consumers and their resources which can include diseases in the species involved. We formulate a model, where the resources are plants, to explore how consumer-resource coexistence could of itself limit the spread of infectious diseases. The important mathematical features of the model are discussed using the basic reproduction number and the consumption number. The results show an association between species coexistence and a decrease in ecosystem resource disease. The possible importance of these results are discussed.

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Section: Models and Methodsmentioning

confidence: 99%

Consumer-resource coexistence as a means of reducing infectious disease

Duffy

Collins

2019

Journal of Biological Dynamics

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“…This is particularly true in cases where growers cannot protect their crops in isolation but rely on the cooperation of others to achieve eradication or suppression of the pest or disease in their area. There have been many studies that look at the population dynamics of plants and their pathogens to determine optimal approaches for control of such pests and diseases [1][2][3], but none of these have accounted for the fact that effective control often relies on the voluntary assimilation of the control methods by decision makers, i.e. growers.…”

Section: Introductionmentioning

confidence: 99%

What makes or breaks a campaign to stop an invading plant pathogen?

et al. 2020

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Diseases in humans, animals and plants remain an important challenge in our society. Effective control of invasive pathogens often requires coordinated concerted action of a large group of stakeholders. Both epidemiological and human behavioural factors influence the outcome of a disease control campaign. In mathematical models that are frequently used to guide such campaigns, human behaviour is often ill-represented, if at all. Existing models of human, animal and plant disease that do incorporate participation or compliance are often driven by pay-offs or direct observations of the disease state. It is however very well known that opinion is an important driving factor of human decision making. Here we consider the case study of Citrus Huanglongbing disease (HLB), which is an acute bacterial disease that threatens the sustainability of citrus production across the world. We show how by coupling an epidemiological model of this invasive disease with an opinion dynamics model we are able to answer the question: What makes or breaks the effectiveness of a disease control campaign? Frequent contact between stakeholders and advisors is shown to increase the probability of successful control. More surprisingly, we show that informing stakeholders about the effectiveness of control methods is of much greater importance than prematurely increasing their perceptions of the risk of infection. We discuss the overarching consequences of this finding and the effect on human as well as plant disease epidemics.

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“…Several models have been formulated and analyzed to explain the dynamics of plant disease transmission. The authors in [12] investigated the impacts of foliar diseases on maize plant population dynamics from the developed epidemiological mathematical model. They also applied optimal control theory with chemical, cultural, and disease resistance as a control intervention.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by references [12,16,17], in this paper, we present a deterministic model to study and analyze the dynamics of MSV in the maize plant population. We believe that the results of our research work will be useful indicating suitable means of controlling the disease transmission or rather eradicate it.…”

Section: Introductionmentioning

confidence: 99%

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Alemneh¹,

Makinde

Theuri

2019

International Journal of Mathematics and Mathematical Sciences

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In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.

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Optimal control of maize foliar diseases using the plants population dynamics

Cited by 12 publications

References 11 publications

Consumer-resource coexistence as a means of reducing infectious disease

Consumer-resource coexistence as a means of reducing infectious disease

What makes or breaks a campaign to stop an invading plant pathogen?

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

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