A Mathematical Model for the Effect of Densities of Attacked and Attacking Species on the Number Attacked

1959 ◽  
Vol 91 (3) ◽  
pp. 129-144 ◽  
Author(s):  
K. E. F. Watt

Any realistic mathematical model of insect pest population dynamics to be used in maximizing control efficiency must mimic the effects of weather, the habitat, other organisms of various specles, food, and chemicals applied by man. However. before such a model can be constructed. suitable mathematical formulations for the mechanismof each type of factor must be developed.

1994 ◽  
Vol 31 (4) ◽  
pp. 747 ◽  
Author(s):  
J. E. Cohen ◽  
K. Schoenly ◽  
K. L. Heong ◽  
H. Justo ◽  
G. Arida ◽  
...  

2018 ◽  
Vol 27 (3) ◽  
pp. 1-12 ◽  
Author(s):  
André Luiz Alves ◽  
Antonio Carlos Torres da Costa ◽  
Marcos Cesar Mottin ◽  
Vanda Pietrowiski ◽  
José Barbosa Duarte Júnior ◽  
...  

1990 ◽  
Vol 122 (6) ◽  
pp. 1271-1272 ◽  
Author(s):  
Hemendra Mulye ◽  
Roger Gordon

The eastern spruce budworm, Choristoneura fumiferana Clemens, is the most widely distributed and destructive forest insect pest in North America. Although much is known about the ecology, population dynamics, and impact of C. fumiferana on tree growth (Sanders et al. 1985), there is very little information available on the physiology of this forest pest. Physiological studies are crucial to the development of novel strategies for spruce budworm control.


2011 ◽  
Vol 5 (4) ◽  
pp. 335-365 ◽  
Author(s):  
Siewe Nourridine ◽  
Miranda I. Teboh-Ewungkem ◽  
Gideon A. Ngwa

2021 ◽  
Author(s):  
Hannelore MacDonald ◽  
Dustin Brisson

Parasite-host interactions can result in periodic population dynamics when parasites over-exploit host populations. The timing of host seasonal activity, or host phenology, determines the frequency and demographic impact of parasite-host interactions which may govern if the parasite can sufficiently over-exploit their hosts to drive population cycles. We describe a mathematical model of a monocyclic, obligate-killer parasite system with seasonal host activity to investigate the consequences of host phenology on host-parasite dynamics. The results suggest that parasites can reach the densities necessary to destabilize host dynamics and drive cycling in only some phenological scenarios, such as environments with short seasons and synchronous host emergence. Further, only parasite lineages that are sufficiently adapted to phenological scenarios with short seasons and synchronous host emergence can achieve the densities necessary to over-exploit hosts and produce population cycles. Host-parasite cycles can also generate an eco-evolutionary feedback that slows parasite adaptation to the phenological environment as rare advantageous phenotypes are driven to extinction when introduced in phases of the cycle where host populations are small and parasite populations are large. The results demonstrate that seasonal environments can drive population cycling in a restricted set of phenological patterns and provides further evidence that the rate of adaptive evolution depends on underlying ecological dynamics.


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