An Epidemilogical Model Incorporating Vector Population Dynamics Applied to African Cassava Mosaic Virus Disease

Holt, J.; Jeger, Michael; Thresh, J. M.; Otim-Nape, G.W.

doi:10.2307/2404924

Cited by 119 publications

(151 citation statements)

References 15 publications

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“…Similarly, it is possible to de®ne analogous categories for the vector population: non-infective, viruliferous but not yet infective, and infective, and to devise a model which links the epidemiology of the disease with the population dynamics of the vector. Such models have been developed for rice dwarf virus disease (Nakasuji et al 1985), and cassava mosaic virus disease (Holt et al 1997). In both of these, certain details were incorporated to re¯ect important features of the particular pathosystems.…”

Section: T H E M O D E Lmentioning

confidence: 99%

“…In both of these, certain details were incorporated to re¯ect important features of the particular pathosystems. In Holt et al (1997), relatively complicated terms were needed to specify the planting rate of the crop and the reproduction of the vector. A general framework for this type of model was given in Jeger et al (1998), in which a minimum of non-essential detail was included so, for example, the population size of both the host and the vector were regarded as constant.…”

Section: T H E M O D E Lmentioning

confidence: 99%

“…These factors, in combination, provided the conditions for virus acquisition rate to be important in disease dynamics and appear to be met in the contrasting case of cassava mosaic virus disease (CMD) in Africa, where B. tabaci multiplies on cassava and increases in CMD incidence correlate well with the size of the B. tabaci population on the crop 6 weeks earlier (Fargette et al 1990;Colvin et al 1998). In a model of CMD dynamics (Holt et al 1997), disease incidence in cassava proved equally sensitive to the inoculation and acquisition rates.…”

Section: P a R A M E T E R S E N S I T I V I T Y A N D I T S I M P L mentioning

confidence: 99%

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Identifying control strategies for tomato leaf curl virus disease using an epidemiological model

Holt

Colvin

Muniyappa

1999

Journal of Applied Ecology

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Summary1. A number of insect vectors of plant-virus diseases make only transitory visits to the crop in which the economic eects of the disease are important. The incidence of disease in the crop depends primarily on the immigration of vectors from alternative hosts which act as a reservoir of both the virus and vector.2. An epidemiological model was developed to represent this situation and parameters were estimated for the case of tomato leaf curl virus disease (TLCVD) (Geminiviridae, Subgroup III) in India. From an analysis of the model, the following possibilities for the management of TLCVD emerged. 3. It was clear that varietal resistance to infection could be an important component of disease management but whether, once infected, the tomato plants acted as a source of inoculum had little impact on disease incidence in the tomato crop. 4. A very low rate of simulated vector immigration into a tomato crop suced to cause almost total infection. Around Bangalore, vectors may migrate into tomato crops in numbers in excess of those required for disease`saturation', explaining why, using conventional insecticides, very ecient and intensive vector control is currently required to reduce disease incidence. 5. Disease incidence was sensitive to vector mortality only when vector numbers were low. In most cases, the immigration of viruliferous vectors made disease incidence insensitive to the mortality of vectors within the tomato crop. 6. A strategy for disease management which targets more than one of the parameters to which the model proved most sensitive is likely to be necessary. In particular, the use of protective netting combined with the growing of resistant varieties has the potential to reduce both B. tabaci immigration to the crop and to reduce virus inoculation by those insects which do reach the crop.

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Section: T H E M O D E Lmentioning

confidence: 99%

Section: T H E M O D E Lmentioning

confidence: 99%

Section: P a R A M E T E R S E N S I T I V I T Y A N D I T S I M P L mentioning

confidence: 99%

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Identifying control strategies for tomato leaf curl virus disease using an epidemiological model

Holt

Colvin

Muniyappa

1999

Journal of Applied Ecology

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“…Such models have been developed by Fishman et al (1983), Fishman & Marcus (1984), Chan & Jeger (1994), Holt et al (1997), Holt et al(1999), Madden et al (2000), Gibson et al (2004), Jeger et al (2004), Tang et al (2010) , Zhonghua & Yaohong (2014), Nannyonga et al (2015) and Nakakawa et al(2016) among others. Holt et al (1999) formulated an epidemiological model for identifying control strategies for tomato leaf curl virus disease in Southern India.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, epidemiological and economic models were formulated to study the spread and control of citrus tristeza virus disease (Fishman et al, 1983); the models were used to assess the effectiveness of the eradication policy. An epidemiological model incorporating vector dynamics applied to African Cassava Mosaic virus disease was considered by Holt et al (1997) who concluded that roguing of diseased plants had little effect on disease incidence. Jeger et al (2004) modeled disease dynamics and control interventions for insect transmitted plant epidemics while Nannyonga et al(2015) applied optimal control theory to study the vector and contaminated tool preventive methods to control the spread of banana Xanthomonas wilt within plantations.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model for the Vector Transmission and Control of Banana Xanthomonas Wilt

Horub¹

2017

JMR

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Banana Xanthomonas wilt is currently wrecking havoc in East and Central Africa. In this paper, a novel theoretical model for the transmission of banana Xanthomonas wilt by insect vectors is formulated and analyzed. The model incorporates roguing of infected plants and replanting using healthy suckers. The model is analyzed for the existence and stability of the equilibrium points. The global stability of the disease-free equilibrium point was determined by using a Lyapunov function and LaSalle's invariance principle. For the global stability of the endemic equilibrium point, the theory of competitive systems, compound matrices and stability of periodic orbits were used. It was established that if the basic reproduction number satisfies R 0 ≤ 1, the disease-free equilibrium point is globally stable and the disease will be wiped out and if R 0 > 1, the endemic equilibrium is stable and the disease persists. A numerical simulation of the model was also carried out. It was found out that at appropriate roguing and replanting, the disease can be contained.

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Effects of awareness program for controlling mosaic disease in Jatropha curcas plantations

Basir

Venturino

Roy

2016

Math Methods in App Sciences

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The shrinkage of fossil fuel resources motivates many countries to search alternative energy sources. Jatropha curcas is a small drought‐resistant shrub from whose seeds a high grade fuel biodiesel can be produced. It is cultivated in many tropical countries including India. However, the plant is affected by the mosaic virus (Begomovirus) through infected white‐flies (Bemisia tabaci) which causes mosaic disease. Disease control is an important factor to obtain healthy crop but in agricultural practice, farming awareness is equally important. Here, we propose a mathematical model for media campaigns for raising awareness among people to protect this plant in small plots and control disease. In order to archive high crop yield, we consider the awareness campaign to be arranged in impulsive way to make people aware from infected white‐flies to protect Jatropha plants from mosaic virus. The study reveals that the spread of mosaic disease can be contained or even eradicated by the awareness campaigns. To attain an effective eradication, awareness campaign should be implemented at sufficiently short time intervals. Copyright © 2016 John Wiley & Sons, Ltd.

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An Epidemilogical Model Incorporating Vector Population Dynamics Applied to African Cassava Mosaic Virus Disease

Cited by 119 publications

References 15 publications

Identifying control strategies for tomato leaf curl virus disease using an epidemiological model

Identifying control strategies for tomato leaf curl virus disease using an epidemiological model

A Mathematical Model for the Vector Transmission and Control of Banana Xanthomonas Wilt

Effects of awareness program for controlling mosaic disease in Jatropha curcas plantations

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