scholarly journals Spatial propagation in nonlocal dispersal Fisher-KPP equations

2021 ◽  
Vol 280 (10) ◽  
pp. 108957
Author(s):  
Wen-Bing Xu ◽  
Wan-Tong Li ◽  
Shigui Ruan
2017 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Liang Kong

The current paper investigate the persistence of positive solutions of KPP type evolution equations with random/nonlocal dispersal in locally spatially inhomogeneous habitat. By the constructions of super/sub solutions and comparison principle, we prove that such an equation has a unique globally stable positive stationary solution.


Atmosphere ◽  
2020 ◽  
Vol 11 (10) ◽  
pp. 1035
Author(s):  
Kenneth Christian ◽  
John Yorks ◽  
Sampa Das

Recent fire seasons have featured volcanic-sized injections of smoke aerosols into the stratosphere where they persist for many months. Unfortunately, the aging and transport of these aerosols are not well understood. Using space-based lidar, the vertical and spatial propagation of these aerosols can be tracked and inferences can be made as to their size and shape. In this study, space-based CATS and CALIOP lidar were used to track the evolution of the stratospheric aerosol plumes resulting from the 2019–2020 Australian bushfire and 2017 Pacific Northwest pyrocumulonimbus events and were compared to two volcanic events: Calbuco (2015) and Puyehue (2011). The pyrocumulonimbus and volcanic aerosol plumes evolved distinctly, with pyrocumulonimbus plumes rising upwards of 10 km after injection to altitudes of 30 km or more, compared to small to modest altitude increases in the volcanic plumes. We also show that layer-integrated depolarization ratios in these large pyrocumulonimbus plumes have a strong altitude dependence with more irregularly shaped particles in the higher altitude plumes, unlike the volcanic events studied.


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