scholarly journals Establishing Wolbachia in the wild mosquito population: The effects of wind and critical patch size

2019 ◽  
Vol 16 (5) ◽  
pp. 4399-4414
Author(s):  
Yunfeng Liu ◽  
◽  
Guowei Sun ◽  
Lin Wang ◽  
Zhiming Guo ◽  
...  
Keyword(s):  
Patch Size ◽  
Mosquito Population ◽  
Critical Patch Size ◽  
In The Wild

scholarly journals Critical patch size reduction by heterogeneous diffusion

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
M. A. F. dos Santos ◽  
V. Dornelas ◽  
E. H. Colombo ◽  
C. Anteneodo
Keyword(s):  
Patch Size ◽  
Size Reduction ◽  
Critical Patch Size

Coastal–marine discontinuities, critical patch size and isolation: implications for marine otter conservation

2008 ◽  
Vol 11 (1) ◽  
pp. 57-64 ◽  
Author(s):  
G. Medina-Vogel ◽  
L. O. Merino ◽  
R. Monsalve Alarcón ◽  
J. de A. Vianna
Keyword(s):  
Patch Size ◽  
Coastal Marine ◽  
Critical Patch Size

VERTICAL PHYTOPLANKTON DISTRIBUTIONS: PATTERNS AND ANALYTICAL SOLUTIONS

1994 ◽  
Vol 02 (02) ◽  
pp. 137-163
Author(s):  
U. TIMM
Keyword(s):  
Fluid Dynamics ◽  
Vertical Distribution ◽  
Analytical Solutions ◽  
Patch Size ◽  
Reaction Diffusion ◽  
Distribution Patterns ◽  
Marine Plankton ◽  
Shear Dispersion ◽  
Critical Patch Size ◽  
Basic Equations

I apply the basic equations of fluid dynamics to reaction—diffusion—advection models describing vertical distribution patterns of marine plankton. The biological dynamics in these models are growth, death/birth, grazing and interaction. Further, oceanographic phenomena such as shading and shear dispersion are considered. Models for critical patch size and for vertical distribution profiles and analytical solutions are developed.

scholarly journals Existence and Permanence in a Diffusive KiSS Model with Robust Numerical Simulations

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Kolade M. Owolabi ◽  
Kailash C. Patidar
Keyword(s):  
Patch Size ◽  
Reaction Diffusion ◽  
Mathematical Community ◽  
Diffusion Problem ◽  
One Dimensional ◽  
Critical Patch Size ◽  
The One ◽  
Exponential Time Differencing Method ◽  
Theoretical Results

We have given an extension to the study of Kierstead, Slobodkin, and Skellam (KiSS) model. We present the theoretical results based on the survival and permanence of the species. To guarantee the long-term existence and permanence, the patch size denoted asLmust be greater than the critical patch sizeLc. It was also observed that the reaction-diffusion problem can be split into two parts: the linear and nonlinear terms. Hence, the use of two classical methods in space and time is permitted. We use spectral method in the area of mathematical community to remove the stiffness associated with the linear or diffusive terms. The resulting system is advanced with a modified exponential time-differencing method whose formulation was based on the fourth-order Runge-Kutta scheme. With high-order method, this extends the one-dimensional work and presents experiments for two-dimensional problem. The complexity of the dynamical model is discussed theoretically and graphically simulated to demonstrate and compare the behavior of the time-dependent density function.

How Predator Incursions Affect Critical Patch Size: The Role of the Functional Response

2001 ◽  
Vol 158 (4) ◽  
pp. 368-375 ◽  
Author(s):  
Robert Stephen Cantrell ◽  
Chris Cosner ◽  
William F. Fagan
Keyword(s):  
Functional Response ◽  
Patch Size ◽  
Critical Patch Size

Spatial Dynamics and Critical Patch Size of Annual Plant Populations

1998 ◽  
Vol 190 (3) ◽  
pp. 277-285 ◽  
Author(s):  
J. Latore ◽  
P. Gould ◽  
A.M. Mortimer
Keyword(s):  
Patch Size ◽  
Spatial Dynamics ◽  
Annual Plant ◽  
Plant Populations ◽  
Critical Patch Size

scholarly journals Critical patch-size for two-sex populations

2018 ◽  
Vol 300 ◽  
pp. 138-144
Author(s):  
Gabriel Andreguetto Maciel ◽  
Renato Mendes Coutinho ◽  
Roberto André Kraenkel
Keyword(s):  
Patch Size ◽  
Critical Patch Size
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