On dynamical behavior of the sugarcane borer – Parasitoid agroecosystem

Rafikov, Marat; Silveira, Jean Carlos

doi:10.1016/j.ecocom.2013.12.003

Cited by 18 publications

(28 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In Rafikov et al (2008), optimal control already was applied to biocontrol of sugar cane borer 9 in (Diatraea saccharalis) by its egg parasitoid Trichogramma galloi, but our present study uses 10 the two-agent model of Rafikov and Silveira (2013). While in the latter optimal asymptotic 11 feedback control is obtained, our results concern the control of the population into a desired 12 equilibrium in given time.…”

Section: Discussionmentioning

confidence: 93%

A two-agent model applied to the biological control of the sugarcane borer (Diatraea saccharalis) by the egg parasitoid Trichogramma galloi and the larvae parasitoid Cotesia flavipes

et al. 2016

View full text Add to dashboard Cite

Abstract. The paper is aimed at a methodological development in biological pest control. The 10 considered one pest two-agent system is modelled as a verticum-type system. Originally, linear 11 verticum-type systems were introduced by one of the authors for modelling certain industrial 12 systems. These systems are hierarchically composed of linear subsystems such that a part of the 13 state variables of each subsystem affect the dynamics of the next subsystem. Recently, 14 verticum-type system models have been applied to population ecology as well, which required 15 the extension of the concept a verticum-type system to the nonlinear case. 16In the present paper the general concepts and technics of nonlinear verticum-type control 17 systems are used to obtain biological control strategies in a two-agent system. For the 18 illustration of this verticum-type control, these tools of mathematical systems theory are applied 19 to a dynamic model of interactions between the egg and larvae populations of the sugarcane 20 borer (Diatraea saccharalis) and its parasitoids: the egg parasitoid Trichogramma galloi and the 21 larvae parasitoid Cotesia flavipes. 22In this application a key role is played by the concept of controllability, which means that it is 23 possible to steer the system to an equilibrium in given time. In addition to a usual linearization, 24 the basic idea is a decomposition of the control of the whole system into the control of the 25 subsystems, making use of the verticum structure of the population system. The main aim of 26 this study is to show several advantages of the verticum (or decomposition) approach over the 27 classical control theoretical model (without decomposition). For example, in the case of 28 verticum control the pest larval density decreases below the critical threshold value much 29 quicker than without decomposition. Furthermore, it is also shown that the verticum approach 30 may be better even in terms of cost effectiveness. The presented optimal control methodology 31 also turned out to be an efficient tool for the "in silico" analysis of the cost-effectiveness of 32 different biocontrol strategies, e.g. by answering the question how far it is cost-effective to 33 speed up the reduction of the pest larvae density, or along which trajectory this reduction should 34 be carried out. 35 36

show abstract

Section: Discussionmentioning

confidence: 93%

A two-agent model applied to the biological control of the sugarcane borer (Diatraea saccharalis) by the egg parasitoid Trichogramma galloi and the larvae parasitoid Cotesia flavipes

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Thus, our proposed non-fragile reliable control scheme yields good performance even though by periodic releases of a small population of natural enemies is occurred. Remark 1: It should be pointed out that a constant feedback control has been proposed in [3,12] for sugarcane borer to indicate how the natural enemies should be introduced into the environment. However, it is worth mentioning that in agricultural field, the controller can be substituted by periodic releases of a small population of natural enemies and hence, it is not economically advantageous to use the constant control.…”

Section: Numerical Examplementioning

confidence: 99%

“…Moreover, parasitoids offer lower cost but more effective plant protection option in comparison to insecticides. Therefore, parasitoids are more general and popular biological control agents of crop pests [3]. The mechanisms of interactions between the sugarcane borer and its parasitoid are: (i) Trichogramma galloi is an egg parasitoid and it completely destroys the eggs of sugarcane borer; (ii) Trichogramma galloi inhibits melanisation in the parasitised larvae leading to immune suppressive effect.…”

Section: Introductionmentioning

confidence: 99%

Non‐fragile reliable control synthesis of the sugarcane borer

Sakthivel

Saravanakumar

Sathishkumar

2017

IET Systems Biology

View full text Add to dashboard Cite

This study considers the problem of non-fragile reliable control synthesis for mathematical model of interaction between the sugarcane borer (Diatraea saccharalis) and its egg parasitoid Trichogramma galloi. In particular, the control could be substituted by periodic releases of a small population of natural enemies and hence it is important to propose the timevarying controller in sugarcane borer. The main aim of this study is to design a state feedback non-fragile (time-varying) reliable controller such that the states of the sugarcane borer system reach the equilibrium point within the desired period. A novel approach is proposed to deal with the uncertain matrices which appear in non-fragile reliable control. Finally, simulations based on sugarcane borer systems are conducted to illustrate the advantages and effectiveness of the proposed design technique. The result reveals that the proposed non-fragile control provides good performance in spite of periodic releases of a small population of natural enemies occurs.

show abstract

“…A large class of models proposed in the literature for biological pest control problems can be written as non-linear dynamical systems in a chained form. For instance, prey-predator, host-parasitoid, and SIR type epidemic models [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Biological pest control using a model‐based robust feedback

Puebla

Roy

Velasco-Perez

et al. 2018

IET Systems Biology

View full text Add to dashboard Cite

Biological control is the artificial manipulation of natural enemies of a pest for its regulation to densities below a threshold for economic damage. The authors address the biological control of a class of pest population models using a modelbased robust feedback approach. The proposed control framework is based on a recursive cascade control scheme exploiting the chained form of pest population models and the use of virtual inputs. The robust feedback is formulated considering the nonlinear model uncertainties via a simple and intuitive control design. Numerical results on three pest biological control problems show that the proposed model-based robust feedback can regulate the pest population at the desired reference via the manipulation of a biological control action despite model uncertainties.

show abstract

On dynamical behavior of the sugarcane borer – Parasitoid agroecosystem

Cited by 18 publications

References 16 publications

A two-agent model applied to the biological control of the sugarcane borer (Diatraea saccharalis) by the egg parasitoid Trichogramma galloi and the larvae parasitoid Cotesia flavipes

A two-agent model applied to the biological control of the sugarcane borer (Diatraea saccharalis) by the egg parasitoid Trichogramma galloi and the larvae parasitoid Cotesia flavipes

Non‐fragile reliable control synthesis of the sugarcane borer

Biological pest control using a model‐based robust feedback

Contact Info

Product

Resources

About