Insect predator-prey dynamics: ladybird beetles and biological control

2000 ◽  
Vol 38 (04) ◽  
pp. 38-2149-38-2149
Keyword(s):  
Biological Control ◽  
Predator Prey ◽  
Ladybird Beetles ◽  
Insect Predator

scholarly journals Insect Predator-Prey Dynamics

2000 ◽  
Vol 83 (4) ◽  
pp. 502
Author(s):  
J. H. Frank ◽  
A. F. G. Dixon
Keyword(s):  
Predator Prey ◽  
Insect Predator

A Semi-Analytical Method for Solving Problems on the Role of Prey Taxis in a Biological Control-Mathematical Model

2019 ◽  
Vol 10 (02) ◽  
pp. 1850009
Author(s):  
OPhir Nave ◽  
Yifat Baron ◽  
Manju Sharma
Keyword(s):  
Biological Control ◽  
Analytical Method ◽  
Reaction Diffusion ◽  
Prey Population ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Homotopy Analysis ◽  
The Stability ◽  
Pest Density

In this paper, we applied the well-known homotopy analysis methods (HAM), which is a semi-analytical method, perturbation method, to study a reaction–diffusion–advection model for the dynamics of populations under biological control. According to the predator–prey model, the advection expression represents the predator density movement in which the acceleration is proportional to the prey density gradient. The prey population reproduces logistically, and the interactions of prey population obey the Holling’s prey-dependent Type II functional response. The predation process splits into the following subdivided processes: random movement which is represented by diffusion, direct movement which is described by prey taxis, local prey interactions, and consumptions which are represented by the trophic function. In order to ensure a successful biological control, one should make the predator-pest population to stabilize at a very low level of pest density. One reason for this effect is the intermediate taxis activity. However, when the system loses stability, for example very intensive prey taxis destroys the stability, it leads to chaotic dynamics with pronounced outbreaks of pest density.

scholarly journals Bayesian inference and model choice for Holling’s disc equation: a case study on an insect predator-prey system

2016 ◽  
Vol 17 (1) ◽  
pp. 71-78 ◽  
Author(s):  
N. E. Papanikolaou ◽  
H. Williams ◽  
N. Demiris ◽  
S. P. Preston ◽  
P. G. Milonas ◽  
...  
Keyword(s):  
Bayesian Inference ◽  
Model Choice ◽  
Predator Prey ◽  
Prey System ◽  
Insect Predator

DYNAMIC ANALYSIS OF A HOLLING I PREDATOR-PREY SYSTEM WITH MUTUAL INTERFERENCE CONCERNING PEST CONTROL

2005 ◽  
Vol 13 (01) ◽  
pp. 45-58 ◽  
Author(s):  
YUJUAN ZHANG ◽  
ZHILONG XU ◽  
BING LIU ◽  
LANSUN CHEN
Keyword(s):  
Biological Control ◽  
Periodic Solutions ◽  
Pest Control ◽  
Chemical Control ◽  
Numerical Solutions ◽  
Dynamical Behavior ◽  
Continuous System ◽  
Mutual Interference ◽  
Predator Prey ◽  
Predator Prey Model

A Holling I predator-prey model with mutual interference concerning pest control is proposed and analyzed. The prey and predator are considered to be a pest and a natural enemy, respectively. The model is forced by the addition of periodic impulsive terms representing predator import (biological control) and pesticide application (chemical control) at different fixed moments. By using Floquet theory and small amplitude perturbations, we show the existence and stability of pest-free periodic solutions. Further, we prove that when the stability of pest-free periodic solutions is lost, the system is permanent by using analytic methods of differential equation theory. Numerical solutions are also given, which show that when stability of pest-free periodic solutions is lost, more exotic behavior can occur, such as quasi-periodic oscillation or chaos. We investigate the effect of impulsive perturbations on the unforced continuous system, and find that the forced system has a different dynamical behavior with a different range of initial values which are inside or outside the unstable limit cycle of the unforced continuous system. Finally, we compare the validity of the combination of biological control and chemical control with classical methods and conclude that the synthetical strategy is more effective than classical methods if we take effective chemical control.

scholarly journals Innate positive chemotaxis to pollen from crops and banker plants in predaceous biological control agents: towards new field lures?

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Shu Li ◽  
Xiaoling Tan ◽  
Nicolas Desneux ◽  
Giovanni Benelli ◽  
Jing Zhao ◽  
...  
Keyword(s):  
Biological Control ◽  
Low Cost ◽  
Field Trapping ◽  
Effective Field ◽  
Biological Control Agents ◽  
Natural Habitats ◽  
Predator Prey ◽  
Control Programs ◽  
Banker Plant ◽  
Arthropod Predators

Abstract Predator-prey interactions form the core of biological control of arthropod pests. Which tools can be used to monitor and collect carnivorous arthropods in natural habitats and targeted crops? Eco-friendly and effective field lures are urgently needed. In this research, we carried out olfactometer experiments assess innate positive chemotaxis to pollen of seven crop and banker plant by two important predatory biological control agents: the coccinellid Propylea japonica (Thunberg) and the anthocorid Orius sauteri (Poppius). We compared the attractiveness of pollens from crops and banker plants to that of common prey homogenates (aphids and thrips, respectively). Attractiveness of the tested odor sources was checked via field trapping experiments conducted in organic apple orchards and by release-recapture assays in organic greenhouse tomato crops. Maize and canola pollen were attractive to both P. japonica and O. sauteri, in laboratory and field assays. P. japonica was highly attracted by balm mint pollen, whereas O. sauteri was attracted by alfalfa pollen. Our results encourage the use of pollen from crops and banker plants as low-cost and eco-friendly attractors to enhance the monitoring and attraction of arthropod predators in biological control programs.

PREDATOR REPRODUCTION AND THE OVERALL PREDATOR-PREY RELATIONSHIP

1981 ◽  
Vol 113 (11) ◽  
pp. 1015-1024 ◽  
Author(s):  
B. D. Frazer ◽  
N. Gilbert ◽  
P. M. Ives ◽  
D. A. Raworth
Keyword(s):  
Biological Control ◽  
Optimal Foraging ◽  
Population Model ◽  
Field Data ◽  
Optimal Foraging Theory ◽  
Large Field ◽  
Predator Prey ◽  
Aphid Density ◽  
Pea Aphids ◽  
The Relationship

AbstractPrevious work described the effects of predation of pea aphids by adult coccinellids. That work has been extended to cover the entire reproductive cycle of the coccinellids. The relationship between amount of aphids eaten, and numbers of coccinellid eggs produced, was determined in the laboratory and used to predict numbers of eggs produced in the field. The survival rate of the eggs to adults, as a function of aphid density, was estimated in large field cages and in small enclosures. These relationships were incorporated into a population model for both predators and prey. The model has been validated against field data. It suggests that predator reproduction is optimized when conditions are very good. The significance for optimal foraging theory and biological control is discussed.

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