Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 202, Issue 2, Pages 675-687Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2008.03.012
Keywords
nontrivial periodic solutions; bifurcation; impulsive controls; nonlinear force of infection; fixed point argument
Categories
Ask authors/readers for more resources
This paper investigates the onset of nontrivial periodic solutions for an integrated pest management model which is subject to pulsed biological and chemical controls. The biological control consists in the periodic release of infective individuals, while the chemical control consists in periodic pesticide spraying. It is assumed that both controls are used with the same periodicity, although not simultaneously. To model the spread of the disease which is propagated through the release of infective individuals, an unspecified force of infection is employed. The problem of finding nontrivial periodic solutions is reduced to showing the existence of nontrivial fixed points for the associated stroboscopic mapping of time snapshot equal to the common period of controls. The latter problem is in turn treated via a projection method. It is then shown that once a threshold condition is reached, a stable nontrivial periodic solution emerges via a supercritical bifurcation. (c) 2008 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available