An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant

Alemneh, Haileyesus Tessema; Kassa, Assefa Sintayehu; Godana, Anteneh Asmare

doi:10.1016/j.idm.2020.12.001

Cited by 16 publications

(8 citation statements)

References 16 publications

(23 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although some work in optimal control of plant disease does translate strategies for practical application, and consider the impact of parameters (e.g. [53]), more often results are presented for a single parameterization and tend not to focus on the practical implementability of the strategies that result [49,[72][73][74][75].…”

Section: Discussionmentioning

confidence: 99%

Optimal strategies to protect a sub-population at risk due to an established epidemic

Bussell

Cunniffe

2022

J. R. Soc. Interface.

View full text Add to dashboard Cite

Epidemics can particularly threaten certain sub-populations. For example, for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the elderly are often preferentially protected. For diseases of plants and animals, certain sub-populations can drive mitigation because they are intrinsically more valuable for ecological, economic, socio-cultural or political reasons. Here, we use optimal control theory to identify strategies to optimally protect a ‘high-value’ sub-population when there is a limited budget and epidemiological uncertainty. We use protection of the Redwood National Park in California in the face of the large ongoing state-wide epidemic of sudden oak death (caused by Phytophthora ramorum ) as a case study. We concentrate on whether control should be focused entirely within the National Park itself, or whether treatment of the growing epidemic in the surrounding ‘buffer region’ can instead be more profitable. We find that, depending on rates of infection and the size of the ongoing epidemic, focusing control on the high-value region is often optimal. However, priority should sometimes switch from the buffer region to the high-value region only as the local outbreak grows. We characterize how the timing of any switch depends on epidemiological and logistic parameters, and test robustness to systematic misspecification of these factors due to imperfect prior knowledge.

show abstract

Section: Discussionmentioning

confidence: 99%

Optimal strategies to protect a sub-population at risk due to an established epidemic

Bussell

Cunniffe

2022

J. R. Soc. Interface.

View full text Add to dashboard Cite

show abstract

“…Xiaowei Jiang investigated the bifurcation as well as chaos for delay differential system [16]. Haileyesus Tessema Alemneh formulated the epidemic model to investigate the dynamical behavior of maize streak virus and developed the control strategies [17]. A number of papers have discussed at least two species for delayed or non-delayed predator-prey models [18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

et al. 2022

View full text Add to dashboard Cite

The presented study deals with the exploitation of the artificial intelligence knacksbased stochastic paradigm for the numerical treatment of the nonlinear delay differential system for dynamics of plant virus propagation with the impact of seasonality and delays (PVP-SD) model by implementing neural networks backpropagation with Bayesian regularization scheme (NNs-BBRS). The PVP-SD model is represented with five classes-based ODEs systems for the interaction between insects and plants. The nonlinear PVP-SD model governs with five populations: S(t) susceptible plants, I(t) infected plants, X(t) susceptible insect vectors, Y (t) infected insect vectors and P(t) predators. Adams numerical procedure is adopted to generate the reference solutions of the nonlinear PVP-SD model based on the variety of cases by varying the plants bite rate due to vectors, vector bite rate due to plants, plant's recovery rate, predator contact rate with healthy insects, predator contact rate with infected insects and death rate caused by insecticides. The approximate solutions of the nonlinear PVP-SD model are determined by executing the designed NNs-BBRS through different target and inputs arbitrary selected samples for the training and testing data. Validation of the consistent precision and convergence of the designed NNs-BBRS is efficaciously substantiated through exhaustive simulations and analyses on mean square error-based merit function, index of regression and error histogram illustrations.

show abstract

“…Chapwanya and Dumont (2021) investigated the interactions among crops, vector and virus with cassava mosaic virus disease. Alemneh et al (2021) studied the optimal deterministic eco-epidemiological model for the dynamics of virus disease. Anguelov et al (2017) determined the genric model to study the impact of mating disruption control to reduce the population of the pests.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Characterization of Biological Control of Cassava Pests Model

et al. 2022

View full text Add to dashboard Cite

Pests are major constraints to the effective growth and development of every crop through their damage, and can be controlled effectively by the use of their natural enemies which is referred to as the biological pest control. In this study, the biological control model of cassava pests through optimal control theory was presented in order to minimize the population of the pests and stabilize the natural enemies population so as not to affect the crop negatively. A mathematical model was formulated via the Lotka-Volterra model, and the model was characterized. The optimality system was established, the equilibrium point with its uniqueness was established for the model. Finally, stability analysis of the model was investigated through optimal control approach and numerical data were employed to validate the system. The results obtained showed that cassava pests can be effectively controlled biologically. Keywords: Optimal control, Cassava pest, Biological control, Stability, Natural enemies

show abstract

An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant

Cited by 16 publications

References 16 publications

Optimal strategies to protect a sub-population at risk due to an established epidemic

Optimal strategies to protect a sub-population at risk due to an established epidemic

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

Mathematical Characterization of Biological Control of Cassava Pests Model

Contact Info

Product

Resources

About