scholarly journals Influence of Random Noises on Spatio-temporal Patterns in Predator-prey Systems

2009 ◽  
Vol 2009 (0) ◽  
pp. 282-287
Author(s):  
Masaaki Ishikawa ◽  
Minori Yokoo
Keyword(s):  
Temporal Patterns ◽  
Predator Prey ◽  
Spatio Temporal

scholarly journals Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion

2020 ◽  
pp. 1-31
Author(s):  
HAI-YANG JIN ◽  
ZHI-AN WANG
Keyword(s):  
Pattern Formation ◽  
Numerical Simulations ◽  
Prey Density ◽  
Temporal Patterns ◽  
Steady States ◽  
Global Dynamics ◽  
Predator Prey ◽  
Density Dependent ◽  
Spatially Homogeneous ◽  
Spatio Temporal

In this paper, we investigate the global boundedness, asymptotic stability and pattern formation of predator–prey systems with density-dependent prey-taxis in a two-dimensional bounded domain with Neumann boundary conditions, where the coefficients of motility (diffusiq‘dfdon) and mobility (prey-taxis) of the predator are correlated through a prey density-dependent motility function. We establish the existence of classical solutions with uniform-in time bound and the global stability of the spatially homogeneous prey-only steady states and coexistence steady states under certain conditions on parameters by constructing Lyapunov functionals. With numerical simulations, we further demonstrate that spatially homogeneous time-periodic patterns, stationary spatially inhomogeneous patterns and chaotic spatio-temporal patterns are all possible for the parameters outside the stability regime. We also find from numerical simulations that the temporal dynamics between linearised system and nonlinear systems are quite different, and the prey density-dependent motility function can trigger the pattern formation.

SPATIO-TEMPORAL PATTERNS OF WORKFORCE IN INDIA DURING 1981-2011

2019 ◽  
Vol 38 (2) ◽  
pp. 239-254
Author(s):  
M.B. SINGH ◽  
◽  
NITIN KUMAR MISHRA ◽  
Keyword(s):  
Temporal Patterns ◽  
Spatio Temporal

Spatio-temporal Patterns and Driving Forces of Urban Expansion in Beijing Central City Since 1932

2010 ◽  
Vol 11 (4) ◽  
pp. 428-435 ◽  
Author(s):  
Wenhui KUANG ◽  
Quanqin SHAO ◽  
Jiyuan LIU ◽  
Chaoyang SUN
Keyword(s):  
Driving Forces ◽  
Central City ◽  
Urban Expansion ◽  
Temporal Patterns ◽  
Spatio Temporal

scholarly journals Spatio-temporal patterns of scrub typhus in mainland China, 2006-2017

2019 ◽  
Vol 13 (12) ◽  
pp. e0007916 ◽  
Author(s):  
Yujuan Yue ◽  
Dongsheng Ren ◽  
Xiaobo Liu ◽  
Yujiao Wang ◽  
Qiyong Liu ◽  
...  
Keyword(s):  
Scrub Typhus ◽  
Mainland China ◽  
Temporal Patterns ◽  
Spatio Temporal
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