Stability analysis of pine wilt disease model by periodic use of insecticides

Awan, Aziz Ullah; Ozair, Muhammad; Din, Qamar; Hussain, Takasar

doi:10.1080/17513758.2016.1225828

Cited by 17 publications

(6 citation statements)

References 27 publications

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“…Articles in [4,65,73,81] studied the plant disease problem in orange plants, the most investigated problem in selected articles. Other than agricultural, several diseases on trees, such as pine [29,60,62], olive [61,85], and palm [77], are studied. The various plants discussed in the articles indicate a mathematical model development and exploration activity.…”

Section: Results Of Systematic Literature Reviewmentioning

confidence: 99%

“…Different plants are used as objects in plant disease transmission modeling, including paddy [5,18], banana [19,20], maize [7,8], cassava [21,22], and trees in forest ecosystems [23]. The models for plant disease transmission are usually developed as a compartmental model in an autonomous system by considering interventions such as roguing [24,25], replanting [26,27], nutrient injection [3], and using insecticide [28,29] also bio-insecticide [6]. Moreover, authors in [30,31] built a compartmental model in a non-autonomous system to study plant disease by considering factors in disease transmission phenomenon that change over time to obtain more realistic models.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Results Of Systematic Literature Reviewmentioning

confidence: 99%

Section: Introductionmentioning

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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“…The susceptible class of pine trees is symbolized by S(t), the exposed pinetrees are denoted as E(t), the infected class of pine trees is symbolized by I(t), and the susceptible beetle class is referred to as R(t). In addition, the infective class of beetles are symbolized by Q(t) [6,8,[12][13][14].…”

Section: Mathematical Optimization and Miniaturementioning

confidence: 99%

Numerical Modeling and Symmetry Analysis of a Pine Wilt Disease Model Using the Mittag–Leffler Kernel

Padmavathi¹,

Magesh²,

Alagesan³

et al. 2022

Symmetry

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The existence of man is dependent on nature, and this existence can be disturbed by either man-made devastations or by natural disasters. As a universal phenomenon in nature, symmetry has attracted the attention of scholars. The study of symmetry provides insights into physics, chemistry, biology, and mathematics. One of the most important characteristics in the expressive assessment and development of computational design techniques is symmetry. Yet, mathematical models are an important method of studying real-world systems. The symmetry reflected by such a mathematical model reveals the inherent symmetry of real-world systems. This study focuses on the contagious model of pine wilt disease and symmetry, employing the q-HATM (q-Homotopy Analysis Transform Method) to the leading fractional operator Atangana–Baleanu (AB) to arrive at better understanding. The outgrowths are exhibited in the forms of figures and tables. Finally, the paper helps to analyze the practical theory, assisting the prediction of its manner that corresponds to the guidelines when contemplating the replica.

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“…However, another transmission that happens through copulation of pine sawyers, as suggested by Togashi and Arakawa, has not been discussed in their work [12]. Other mathematical models based on ordinary and fractional derivatives are comprehensively explained in [13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Dynamical features of pine wilt disease through stability, sensitivity and optimal control

et al. 2021

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This work investigates the dissemination mechanism of pine wilt disease. The basic reproduction number is computed explicitly, and an ultimate invariable level of contagious hosts and vectors, without and with disease, is discussed by using this number. Highly effective techniques, Lyapunov functional and graph theoretic, are utilised to obtain the ultimate constant level of the whole population. The idea of complete disease eradication and reduction of endemic level is explored through the utilisation of two efficient methods. Using sensitivity analysis approach, necessary control measures are suggested to overcome the disease. Using the literature data, the robustness of control strategies is shown graphically.

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Stability analysis of pine wilt disease model by periodic use of insecticides

Cited by 17 publications

References 27 publications

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

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

Numerical Modeling and Symmetry Analysis of a Pine Wilt Disease Model Using the Mittag–Leffler Kernel

Dynamical features of pine wilt disease through stability, sensitivity and optimal control

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