Modeling Exponential Population Growth

2009 ◽  
Vol 71 (5) ◽  
pp. 291-294
Author(s):  
Bonnie McCormick
Keyword(s):  
Population Growth ◽  
Exponential Population Growth ◽  
Exponential Population

scholarly journals Interpolation solution in generalized stochastic exponential population growth model

2012 ◽  
Vol 36 (3) ◽  
pp. 1023-1033 ◽  
Author(s):  
M. Khodabin ◽  
K. Maleknejad ◽  
M. Rostami ◽  
M. Nouri
Keyword(s):  
Population Growth ◽  
Growth Model ◽  
Exponential Population Growth ◽  
Exponential Population

SPECIES COMPOSITION OF PEA APHID (HOMOPTERA: APHIDIDAE) PRIMARY AND SECONDARY PARASITOIDS IN WISCONSIN

1987 ◽  
Vol 119 (11) ◽  
pp. 1055-1057 ◽  
Author(s):  
R.L. Thiboldeaux ◽  
W.D. Hutchison ◽  
D.B. Hogg
Keyword(s):  
Population Dynamics ◽  
Species Composition ◽  
Population Growth ◽  
Medicago Sativa ◽  
Natural Enemies ◽  
Acyrthosiphon Pisum ◽  
Pea Aphid ◽  
Important Pest ◽  
Exponential Population Growth ◽  
Exponential Population

The pea aphid, Acyrthosiphon pisum (Harris), is an important pest of alfalfa, Medicago sativa L., in Wisconsin because of its characteristic potential for exponential population growth (Hutchison and Hogg 1984, 1985) and the subsequent damage in both hay quality and quantity inflicted by high populations (Cuperus et al. 1982). In Wisconsin, as in most alfalfa-producing states, there is a vast complex of natural enemies (Hutchison and Hogg 1985) that influence pea aphid population dynamics, including the hymenopteran primary parasitoids from the Aphidiidae. These primary species, however, are also attacked by several secondary parasitoids from the families Megaspilidae, Pteromalidae, and Alloxystidae.

scholarly journals The Impact of Accelerating Faster than Exponential Population Growth on Genetic Variation

Genetics ◽  
2013 ◽  
Vol 196 (3) ◽  
pp. 819-828 ◽  
Author(s):  
Mark Reppell ◽  
Michael Boehnke ◽  
Sebastian Zöllner
Keyword(s):  
Genetic Variation ◽  
Population Growth ◽  
Exponential Population Growth ◽  
The Impact ◽  
Exponential Population

scholarly journals Dynamics of the Exponential Population Growth System with Mixed Fractional Brownian Motion

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Weijun Ma ◽  
Wei Liu ◽  
Quanxin Zhu ◽  
Kaibo Shi
Keyword(s):  
Brownian Motion ◽  
Population Growth ◽  
Large Deviations ◽  
Exponential Stability ◽  
Fractional Brownian Motion ◽  
Large Deviation ◽  
Mixed Fractional Brownian Motion ◽  
Growth System ◽  
Exponential Population Growth ◽  
Exponential Population

This paper examines the dynamics of the exponential population growth system with mixed fractional Brownian motion. First, we establish some useful lemmas that provide powerful tools for studying the stochastic differential equations with mixed fractional Brownian motion. We offer some explicit expressions and numerical characteristics such as mathematical expectation and variance of the solutions of the exponential population growth system with mixed fractional Brownian motion. Second, we propose two sufficient and necessary conditions for the almost sure exponential stability and the k th moment exponential stability of the solution of the constant coefficient exponential population growth system with mixed fractional Brownian motion. Furthermore, we conduct some large deviation analysis of this mixed fractional population growth system. To the best of the authors’ knowledge, this is the first paper to investigate how the Hurst index affects the exponential stability and large deviations in the biological population system. It is interesting that the phenomenon of large deviations always occurs for addressed system when 1 / 2 < H < 1 . Moreover, several numerical simulations are reported to show the effectiveness of the proposed approach.

A PRECALCULUS PROJECT ON EXPONENTIAL POPULATION GROWTH AND LINEAR FOOD PRODUCTION

PRIMUS ◽  
1996 ◽  
Vol 6 (1) ◽  
pp. 27-34
Author(s):  
Michael A. McDonald ◽  
Emily Puckette ◽  
Charles Vuono
Keyword(s):  
Population Growth ◽  
Food Production ◽  
Exponential Population Growth ◽  
Exponential Population
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