Mathematical modeling and control of population systems: Applications in biological pest control

The aim of this paper is to apply methods from optimal control theory, and from the theory of dynamic systems to the mathematical modeling of biological pest control. The linear feedback control problem for nonlinear systems has been formulated in order to obtain the optimal pest control strategy only through the introduction of natural enemies. Asymptotic stability of the closed-loop nonlinear Kolmogorov system is guaranteed by means of a Lyapunov function which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation, thus guaranteeing both stability and optimality. Numerical simulations for three possible scenarios of biological pest control based on the Lotka-Volterra models are provided to show the effectiveness of this method. (c) 2007 Elsevier B.V. All rights reserved.

Management of vomplex systems: Modeling the biological pest control

The aim of this paper is to study the cropping system as complex one, applying methods from theory of dynamic systems and from the control theory to the mathematical modeling of the biological pest control. The complex system can be described by different mathematical models. Based on three models of the pest control, the various scenarios have been simulated in order to obtain the pest control strategy only through natural enemies' introduction. © 2008 World Scientific Publishing Company.

Influência da sinigrina no comportamento de busca e seleção de presas pelo predador Orius insidiosus (Say, 1832) (Hemiptera: Anthocoridae)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Hábito alimentar e morfologia do aparelho digestivo de espécies de Carabidae (Insecta: Coleoptera) associados a plantas herbáceas e ao algodoeiro colorido

Pós-graduação em Agronomia (Entomologia Agrícola) - FCAV

PHEIDOLE ANTS AS POTENTIAL BIOLOGICAL-CONTROL AGENTS OF THE BOLL-WEEVIL, ANTHONOMUS-GRANDIS (COL, CURCULIONIDAE), IN SOUTHEAST BRAZIL

This study evaluates the potential of ants as natural biological control agents of the boil weevil (Anthonomus grandis), during the between-season period, in South-east Brazil. Active adults of Anthonomus were experimentally distributed on the ground of the cotton field. Results show that 20% of the adult Anthonomus are attacked and removed by foraging ants. The native ant Pheidole oliveirai was by far the most efficient predator, accounting for 94% of the predation on Anthonomus. Recruited workers of P. oliveirai were usually very fast at transporting the weevils to their nests. The potential benefit of suppressing overwintering adult Anthonomus during the between-season period is mainly that of reducing the risk of high level infestations during the next cropping cycle.

Effect of Alternaria cassiae, Pseudocercospora nigricans, and soybean (Glycine max) planting density on the biological control of sicklepod (Senna obtusifolia)

The interactions of two fungal biocontrol agents, Alternaria cassiae and Pseudocercospora nigricans, and soybean planting density on sicklepod mortality and dry weight were studied in the field over 2 yr. The experimental field was divided into three equal areas: one without soybean and two where the soybean was sown in densities of 20 and 36 seeds per meter row with a 0.95-m row spacing. The fungi were sprayed alone or in a mixture at three growth stages of sicklepod plants grown at three levels of crop interference resulting from the three soybean planting densities. The fungal treatments were: an untreated control, A. cassiae (105 spores/m2), P. nigricans (3.3 g mycelium/m2), and the mixture of these two fungi. Sicklepod was at the cotyledonary leaf, two-leaf, and four-leaf stages when treated. Alternaria cassiae was most effective in reducing both sicklepod survival and dry weight. The mixture of P. nigricans and A. cassiae was generally comparable to but not better than A. cassiae alone in killing the weed (mortality) and reducing its growth (dry weight). Soybean density did not have significant effects on the mortality or the dry weight of sicklepod. Thus, there is no advantage to combining the highly effective biocontrol agent A. cassiae with the less effective P. nigricans or with soybean interference to control sicklepod. However, the results validate the efficacy of A. cassiae by itself as a bioherbicide.

Effects of UV-B radiation on Lecanicillium spp., biological control agents of the coffee leaf rust pathogen

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Potential of Acarophenax lacunatus (Prostigmata: Acarophenacidae) as a biological control agent of Rhyzopertha dominica (Coleoptera: Bostrichidae)

A recent report of the parasitic mite species Acarophenax lacunatus (Cross and Krantz) (Prostigmata: Acarophenacidae) attacking populations of Rhyzopertha dominica (F.) (Coleoptera: Bostrichidae) led to the present investigation. Maximum female size and average number of progeny per female mite were assessed at eight different temperatures (ranging from 20 to 41°C) and 60% r.h. using R. dominica as the host. The ability of the mite species to suppress eggs, first instar larvae, and adults of R. dominica was assessed at 30°C and 60% r.h. The largest female sizes of the mite and progeny numbers were obtained around 30°C (259 μm and 17 offspring/female respectively) with minimum values obtained at the most extreme temperatures used in this study. Mite densities of at least four individuals per 500 ml jar containing 50 adults of R. dominica, resulted in almost complete suppression of eggs, first instar larvae, and adults of the host species after 45 days. This same range of mite densities led to reductions of wheat weight losses of 15 and 25% after 45 and 60 days after infestation respectively. Acarophenax lacunatus shows good potential as a biological control agent of R. dominica.

Survey of preys captured and used by Polybia platycephala (Richards) (Hymenoptera: Vespidae, Epiponini)

As vespas sociais são predadoras de várias espécies de insetos e, portanto, o estudo de suas presas pode revelar seu potencial para programas de controle biológico de pragas. Durante o período de setembro de 2000 a janeiro de 2002, foram realizadas 70h de coleta de presas capturadas em doze ninhos de Polybia platycephala Richards, localizados em áreas urbanas do município de Juiz de Fora, MG. As presas capturadas por P. platycephala compreenderam cinco ordens de insetos: Diptera (33,4%), Lepidoptera (28,6%), Hemiptera (12,0%), Hymenoptera (9,4%) e Coleoptera (7,2%). O peso médio da carga protéica transportada pelas vespas foi 1,9 ±1,6 mg (n = 34, 0,3 - 6,2 mg), e a taxa média de proteína transportada por dia foi 22,8 mg. de acordo com os resultados, pode-se estimar a captura de 4.380 presas por ano por uma única colônia de P. platycephala. Desta forma, a espécie pode ser utilizada em programas de manejo em ambientes urbanos contribuindo para o controle de insetos pragas como larvas de pernilongos, lagartas desfolhadoras de plantas de jardins, pulgões e formas aladas de formigas.

Late pest control in determinate tomato cultivars

O uso de plantas inseticidas e de variedades pode ser forte aliado ao Manejo Integrado de Pragas (MIP), podendo reduzir o número de aplicações de inseticidas e minimizar seus efeitos ao homem e ao meio ambiente. em condições de campo, visando o controle de pragas tardias do tomateiro em duas cultivares de crescimento determinado, compararam-se as seguintes táticas de controle: a) Convencional - pulverizações com os produtos metamidofós, buprofezin, acefato, cipermetrina, abamectina, permetrina, teflubenzuron e lufenuron, aplicados em intervalos de três a seis dias; b) MIP - nível de ação de cada praga para aplicações de imidacloprid, triflumuron, lufenuron e abamectina; c) MIP - Azadirachta indica (nim) - nível de ação de cada praga para aplicações de óleo de nim (1,2% de azadiractina) a 0,5%. As táticas de controle MIP e MIP - nim foram eficientes no controle das pragas tardias do tomateiro, quando a pressão da população é baixa, não diferindo do tratamento convencional que apresentou as menores médias de infestação. As táticas de controle convencional, MIP e MIP-nim promoveram maiores produções do tomateiro, com incrementos de até 74%. O número de pulverizações foi reduzido em até 77% com as táticas MIP e MIP - nim, comparado ao método convencional. O produto nim pode ser alternativa promissora no controle de pragas tardias do tomateiro em campo, que se ajusta ao MIP.

Optimal pest control problem in population dynamics

One of the main goals of the pest control is to maintain the density of the pest population in the equilibrium level below economic damages. For reaching this goal, the optimal pest control problem was divided in two parts. In the first part, the two optimal control functions were considered. These functions move the ecosystem pest-natural enemy at an equilibrium state below the economic injury level. In the second part, the one optimal control function stabilizes the ecosystem in this level, minimizing the functional that characterizes quadratic deviations of this level. The first problem was resolved through the application of the Maximum Principle of Pontryagin. The Dynamic Programming was used for the resolution of the second optimal pest control problem.

Efeito da densidade de ninfas de Aphis gossypii Glover, 1877 (Hemiptera, Aphididae) no consumo alimentar e aspectos biológicos de Orius insidiosus (Say, 1832) (Hemiptera, Anthocoridae)

Orius insidiosus (SAY, 1832) is an important predator for biological pest control programs. The objective of this work was to evaluate the functional response, predation capacity and reproductive aspects of O. insidiosus when predating 1, 5, 10, 15, and 20 third/fourth instar nymphs of Aphis gossypii. The tests were conducted under laboratory conditions. Females of the predator were individually maintained in Petri dishes with a cotton leaf at each one of the aphid densities. The average rate of predation was of 0.93 [plus or minus] 0.13, 3.58 [plus or minus] 0.80, 7.31 [plus or minus] 1.45, 7.40 [plus or minus] 1.16, and 10.54 [plus or minus] 1.84 at the densities of 1, 5, 10, 15, and 20 aphids, respectively. The results showed an attack rate of 0.10 h-1 and 1.82 h of manipulation time. The predator spent 3.10 to 4.08 h feeding on leaf cotton glands; this behavior was not directly influenced by the prey density. The proportion of egg laying per female grew up to the density of 10 nymphs whereas the number of eggs per laying increased with the number of available preys.

Comunidades de aranhas (Araneae) em cultivos de seringueira (Hevea brasiliensis Muell. Arg.) no Estado de São Paulo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Composição faunística de insetos predadores em fragmento florestal e em área de hortaliças na região de Jaboticabal, estado de São Paulo

A population survey was carried out in a forest fragment and in an area of vegetables, from November/1996 to February/1998, aiming to determine the predator insect species and the influence of abiotic factors. The samples were taken weekly by light traps. The results were evaluated using faunistic analysis and simple correlation with temperature, relative humidity and rainfall. In the forest fragment higher similarity in the abundance of species was observed comparing to the area of vegetables, but the largest number of captured individuals (95%) occurred in this last habitat. Metius sp., Polpochila impressifrons (Dej.), Eulissus sp. and Doru sp. were predominant species in both areas, evidencing they may play an important role as pest predators in areas of vegetables. Arthrostictus speciosus (Dej.) and Leptotrachelus sp. predominated in the forest fragment, and the same was observed with Paederus sp. in the vegetable area. This species is probably adapted for open and hot places, while A. speciosus and Leptotrachelus sp. can be adapted for dark and humid places of forests.

Effect of air humidity on the egg viability of predatory mites (Acari: Phytoseiidae, Stigmaeidae) common on rubber trees in Brazil

Rubber pest mites, Calacarus heveae and Tenuipalpus heveae, reach economic damage levels at the end of the rainy season and the beginning of the dry season in Brazil. Therefore, low humidity adaptation might be an important characteristic for predatory mites to successfully control pest organisms. This study determined the effect of the relative humidity (RH) levels of 30-100% on the hatching of larvae of Amblyseius acalyphus, Euseius citrifolius, Iphiseiodes zuluagai, Metaseiulus camelliae, Agistemus floridanus and Zetzellia malvinae at 25 ± 0.5°C. These predatory mites are common on rubber trees in the state of São Paulo and might be used for introduction in the major rubber tree production regions in the state of Mato Grosso. At 70% RH or higher, viability was 70% or higher for all species, indicating that their performance might be higher during the rainy season than during the dry season. Eggs of E. citrifolius and M. camelliae presented higher viability at the lower relative humidity levels than those of other species, indicating that these species might have higher chance to persist in the dry season. It is suggested that M. camelliae should be further evaluated for introduction in the state of Mato Grosso, considering that this mite is not yet present in that area. © Springer 2006.