Abstract
We study a reaction-diffusion version on all of RNof the logistic equation of population growth in which the birth rate depends on the spatial variable and may assume both positive and negative values. Our results which are obtained by the construction of sub- and supersolutions and the study of asymptotic properties of solutions show the interplay between the birth rate of the species and the extent of diffusion in determining the existence or nonexistence of nontrivial steady-state distributions of population. © 1998 Academic Press.
| Original language | English |
|---|---|
| Pages (from-to) | 326-339 |
| Number of pages | 14 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 225 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Sep 1998 |
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On a Diffusive Logistic Equation. / Afrouzi, G. A.; Brown, K. J.
In: Journal of Mathematical Analysis and Applications, Vol. 225, No. 1, 01.09.1998, p. 326-339.Research output: Contribution to journal › Article
TY - JOUR
T1 - On a Diffusive Logistic Equation
AU - Afrouzi, G. A.
AU - Brown, K. J.
PY - 1998/9/1
Y1 - 1998/9/1
N2 - We study a reaction-diffusion version on all of RNof the logistic equation of population growth in which the birth rate depends on the spatial variable and may assume both positive and negative values. Our results which are obtained by the construction of sub- and supersolutions and the study of asymptotic properties of solutions show the interplay between the birth rate of the species and the extent of diffusion in determining the existence or nonexistence of nontrivial steady-state distributions of population. © 1998 Academic Press.
AB - We study a reaction-diffusion version on all of RNof the logistic equation of population growth in which the birth rate depends on the spatial variable and may assume both positive and negative values. Our results which are obtained by the construction of sub- and supersolutions and the study of asymptotic properties of solutions show the interplay between the birth rate of the species and the extent of diffusion in determining the existence or nonexistence of nontrivial steady-state distributions of population. © 1998 Academic Press.
UR - http://www.scopus.com/inward/record.url?scp=0000578405&partnerID=8YFLogxK
U2 - 10.1006/jmaa.1998.6044
DO - 10.1006/jmaa.1998.6044
M3 - Article
VL - 225
SP - 326
EP - 339
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -