scholarly journals Stability Analysis and Control Optimization of a Prey-Predator Model with Linear Feedback Control

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Yaning Li ◽  
Yan Li ◽  
Yu Liu ◽  
Huidong Cheng

The application of pest management involves two thresholds when the chemical control and biological control are adopted, respectively. Our purpose is to provide an appropriate balance between the chemical control and biological control. Therefore, a Smith predator-prey system for integrated pest management is established in this paper. In this model, the intensity of implementation of biological control and chemical control depends linearly on the selected control level (threshold). Firstly, the existence and uniqueness of the order-one periodic solution (i.e., OOPS) are proved by means of the subsequent function method to confirm the feasibility of the biological and chemical control strategy of pest management. Secondly, the stability of system is proved by the limit method of the successor points’ sequences and the analogue of the Poincaré criterion. Moreover, an optimization strategy is formulated to reduce the total cost and obtain the best level of pest control. Finally, the numerical simulation of a specific model is performed.

1999 ◽  
Vol 121 (4) ◽  
pp. 619-624 ◽  
Author(s):  
Seon-Woo Lee ◽  
Jong-Hwan Kim

This paper presents an identification technique using evolution strategies (ES) for an integrated friction model of a positioning table. The friction model is based on Karnopp’s friction-velocity model with the rising static friction and spring-like property. Using the (μ + λ)-ES, the system parameters are identified with the experimental input and output data. The proposed control law consists of a conventional linear feedback control input, a friction compensation term and a sliding control input. The proposed control scheme can guarantee the stability of the overall system, even in the presence of the external disturbances and the modeling error between the real friction and the identified model. Experiments on an positioning table, called X-Y table, demonstrate the effectiveness of the proposed identification and control schemes.


2008 ◽  
Author(s):  
Paul Horne ◽  
Jessica Page

Integrated Pest Management for Crops and Pastures describes in straightforward language what is required for farmers to successfully implement Integrated Pest Management (IPM) in cropping and grazing operations. It explains the differences between conventional pesticide-based controls and IPM, and demonstrates the advantages of IPM. Effective control of pests depends on a number of approaches, not just chemical or genetic engineering. The opening chapters cover the different approaches to pest management, and the importance of identification and monitoring of pests and beneficials. Most farmers and advisors can identify major pests but would struggle to recognise a range of beneficial species. Without this information it is impossible to make appropriate decisions on which control methods to use, especially where pests are resistant to insecticides. The book goes on to deal with the control methods: biological, cultural and chemical. The biological control agents discussed include both native and introduced species that attack pests. Cultural changes that have led to an increase in the incidence or severity of pest attack are also examined. The chapter on chemical control describes the different ways chemicals can affect beneficial species, also detailing acute, sub-lethal and transient toxicities of pesticides, drawing on examples from horticulture where necessary. Finally, the authors bring all the components of integrated pest management together and show farmers how to put their IPM plan into action.


1956 ◽  
Vol 47 (2) ◽  
pp. 377-397 ◽  
Author(s):  
W. F. Jepson

The principal pest of sugar-cane in northern Tanganyika is the Red Cane Beetle, Cochliotis melolonthoides (Gerst.) (Melolonthidae). Descriptions of adults and larvae of Cochliotis and of allied beetles found in the same area are given.The bionomics of Cochliotis have been studied in the field over two seasons. The life-cycle is annual with adult swarming in early October and a season of maximum larval damage in July–August.The intensity of infestation and the nature of the losses are discussed, and the mortality factors which act upon Cochliotis in nature are reviewed.Cultural control measures suggested include the deferment of planting until July to October, when larval activity has waned; introduction of quick-maturing varieties, mechanically cultivated so that long ratooning can be gradually eliminated; regulation of the water table by control of irrigation, and the trial of resistant varieties. The Mauritius varieties M. 134/32 and M. 165/38 are suggested in this connection.Biological control is discussed and a review of the parasite species that might possibly be introduced is made largely from the writer's Mauritius work on Clemora smithi (Arr.).Experiments in the chemical control of Cochliotis are described and the final recommendation is the application at planting of ½ lb. per 50 ft. of furrow of a BHC powder containing 2·5 per cent, of γ BHC. This practice has been adopted by the infested estate with successful results in virgins and first ratoons.Further work is suggested on the chemical protection of second and later ratoons by surface application of BHC or aldrin.


Author(s):  
T.A. Jackson ◽  
A.J. Popay ◽  
S.L. Goldson

Pasture damage from insect pests is an increasing concern with rising forage value and biosecurity breaches. At the same time options for traditional chemical control of pests are becoming limited. Biological control of insect pests is important in limiting pest damage, with toxin-producing endophytes, parasitoids and insect diseases the key components limiting insect pest populations and damage in pastures. We are proposing a bioprotection strategy for pasture pest management that maximises the benefit of biocontrol and changes the emphasis from curative to preventative action in the protection of pastures from damaging pests. Keywords: bioprotection, biological control, insect pests, pest management


2000 ◽  
Vol 90 (6) ◽  
pp. 453-465 ◽  
Author(s):  
A. Damon

AbstractThe coffee berry borer, Hypothenemus hampei Ferrari, is a serious problem for the majority of the world‘s coffee growers and has proved to be one of the most intractable of present day pests. Despite a great deal of research, control still depends largely on the application of the organochlorine insecticide endosulfan, which is damaging to the environment, or a series of cultural and biological control methods which give variable and unpredictable results. This review summarizes the most important aspects of the biology and ecology of H. hampei and its control and identifies weak points in the knowledge about this pest. Emphasis is placed upon an analysis of the non-chemical control methods available and suggestions are offered for novel ecological and environmental factors worthy of further research, in the search for viable and sustainable control methods.


2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Yuan Tian ◽  
Zhantao Zhang ◽  
Kaibiao Sun

An integrated pest management Gompertz model with interval impulsive control is put forward. Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower than the damage level, predators as its natural enemy are released in case pest density is higher than the slightly harmful level and predator density is below its maintainable level. The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system. The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control. The analytical results presented in the work are validated by numerical simulations for a specific model.


Filomat ◽  
2018 ◽  
Vol 32 (11) ◽  
pp. 3779-3789 ◽  
Author(s):  
Yadong Liu ◽  
Wenjun Liu

In this paper, we study the dynamic behavior and control of the fractional-order nutrientphytoplankton-zooplankton system. First, we analyze the stability of the fractional-order nutrient-plankton system and get the critical stable value of fractional orders. Then, by applying the linear feedback control and Routh-Hurwitz criterion, we yield the sufficient conditions to stabilize the system to its equilibrium points. Finally, Under a modified fractional-order Adams-Bashforth-Monlton algorithm, we simulate the results respectively.


Author(s):  
J. R. Adams ◽  
G. J Tompkins ◽  
A. M. Heimpel ◽  
E. Dougherty

As part of a continual search for potential pathogens of insects for use in biological control or on an integrated pest management program, two bacilliform virus-like particles (VLP) of similar morphology have been found in the Mexican bean beetle Epilachna varivestis Mulsant and the house cricket, Acheta domesticus (L. ).Tissues of diseased larvae and adults of E. varivestis and all developmental stages of A. domesticus were fixed according to procedures previously described. While the bean beetles displayed no external symptoms, the diseased crickets displayed a twitching and shaking of the metathoracic legs and a lowered rate of activity.Examinations of larvae and adult Mexican bean beetles collected in the field in 1976 and 1977 in Maryland and field collected specimens brought into the lab in the fall and reared through several generations revealed that specimens from each collection contained vesicles in the cytoplasm of the midgut filled with hundreds of these VLP's which were enveloped and measured approximately 16-25 nm x 55-110 nm, the shorter VLP's generally having the greater width (Fig. 1).


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