Progress in Mathematical Ecology / / edited by Sergei Petrovskii.

• TeilnehmendeR: Petrovskii, Sergei,
• Place / Publishing House: Basel, Switzerland : : MDPI,, 2018.; ©2018
• Year of Publication: 2018
• Language: English
• Physical Description: 1 online resource (215 pages)

Mathematical ecology is an area of applied mathematics concerned with the application of mathematical concepts, tools and techniques, usually in the form of mathematical models, to problems arising in population dynamics, ecology and evolution. This Special Issue is designed to provide a snapshot of the state of the art in mathematical ecology. Topics of interest are (in no particular order) biological invasions, biological control, ecological pattern formation, ecologically relevant multiscale models, food webs, individual movement and dispersal, eco-epidemiology, evolutionary ecology, agroecosystems, regime shifts and early warning signals, synchronization and chaos. The list is inclusive rather than exclusive, and a few other relevant topics will also be considered.

Table of Contents

About the Special Issue Editor vii -- Sergei Petrovskii Progress in Mathematical Ecology Reprinted from: Mathematics 2018, 6, 167, doi: 10.3390/math6090167 1 -- Fadi Barbara, Valentina La Morgia, Valerio Parodi, Giuseppe Toscano and Ezio Venturino Analysis of the Incidence of Poxvirus on the Dynamics between Red and Grey Squirrels Reprinted from: Toxins 2018, 6, 113, doi: 10.3390/math6070113 3 -- Paul F. Slade Linearization of the Kingman Coalescent Reprinted from: Mathematics 2018, 6, 82, doi: 10.3390/math6050082 . 24 -- Danish A. Ahmed, Sergei V. Petrovskii and Paulo F. C. Tilles The "Levy or Diffusion" Controversy: How Important Is the Movement Pattern in the Context ´ of Trapping? Reprinted from: Mathematics 2018, 6, 77, doi: 10.3390/math6050077 . 51 -- Farzad Fatehi, Yuliya N. Kyrychko and Konstantin B. Blyuss Effects of Viral and Cytokine Delays on Dynamics of Autoimmunity Reprinted from: Mathematics 2018, 6, 66, doi: 10.3390/math6050066 . 78 -- Weam Alharbi and Sergei Petrovskii Critical Domain Problem for the Reaction-Telegraph Equation Model of Population Dynamics Reprinted from: Mathematics 2018, 6, 59, doi: 10.3390/math6040059 . 102 -- Malay Banerjee, Nayana Mukherjee and Vitaly Volpert Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey Reprinted from: Mathematics 2018, 6, 41, doi: 10.3390/math6030041 . 117 -- Nikhil Pal , Sudip Samanta, Maia Martcheva and Joydev Chattopadhyay Role of Bi-Directional Migration in Two Similar Types of Ecosystems Reprinted from: Mathematics 2018, 6, 36, doi: 10.3390/math6030036 . 130 -- Jos´e F. Fontanari The Collapse of Ecosystem Engineer Populations Reprinted from: Mathematics 2018, 6, 9, doi: 10.3390/math6010009 146 -- Merlin C. K ¨ohnke and Horst Malchow Impact of Parameter Variability and Environmental Noise on the Klausmeier Model of Vegetation Pattern Formation Reprinted from: Mathematics 2017, 5, 69, doi: 10.3390/math5040069 . 158 -- Aisling J. Daly, Jan M. Baetens and Bernard De Baets Ecological Diversity: Measuring the Unmeasurable Reprinted from: Mathematics 2018, 6, 119, doi: 10.3390/math6070119 177.