Article
Mathematics, Interdisciplinary Applications
Rong Liu, Guirong Liu
Summary: This paper proves the existence of a unique global positive solution in a stochastic two-patch predator-prey model with ratio-dependent functional responses through the stochastic comparison theorem. It discusses the long-time properties of the solutions pathwise using two different methods and obtains sufficient conditions for extinction and persistence in mean. The results also include discussions on stochastic persistence and the existence of an ergodic stationary distribution, with applications to special models and numerical simulations to support the main results.
Article
Mathematics, Applied
Przemyslaw Gawronski, Alfio Borzi, Krzysztof Kulakowski
Summary: This study investigates the system of two resources and one consumer within the Rosenzweig-MacArthur model, with a Holling type II functional response. The results show that oscillations of C and mutually synchronized R-i are destabilized when consumption rates are modified, leading the system towards fixed points or limit cycles with smaller amplitudes. The consumer is unable to change the preferred resource due to the symmetry between the resources.
Article
Mathematics, Applied
Liang Wang, Daqing Jiang
Summary: This paper examines a stochastic predator-prey model in a chemostat driven by Markov regime switching, establishing conditions for the stationary distribution and investigating population extinction. Critical numbers between survival and extinction for species in a dual-threshold chemostat model are explored, with numerical simulations confirming analytical conclusions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Biology
Gregory J. Kimmel, Frederick L. Locke, Philipp M. Altrock
Summary: CAR T cell therapy relies on engineered T cells expanding in vivo after chemotherapy-induced lymphodepletion. A mathematical model was developed to explain T cell-tumor cell interactions, showing that cure is a stochastic event influenced by patient variability. The model suggests optimizing tumor-killing rate and CAR T cells' carrying capacity to improve therapy outcomes.
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
(2021)
Article
Mathematics, Applied
Rongsheng Cai, Yuhua Cai, Jianhe Shen
Summary: In this article, we investigate the coexistence of a predator and two prey species under the influence of evolution. We propose a three-time-scale model that incorporates rapid adaptive behavior in the predator's feeding choice, slow growth in the prey species, and extremely slow growth in the predator. By utilizing geometric singular perturbation theory and computing the entry-exit function for multidimensional fast-slow systems, we discover that the predator and the two prey species can coexist through relaxation oscillations in their feeding choice strategies, which is attributed to the delayed loss of stability. Additionally, we demonstrate that the predator can coexist with the two prey species through an interior equilibrium state with locally optimal feeding choice.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Multidisciplinary
Wei Wei, Wei Xu, Jiankang Liu, Yi Song, Shuo Zhang
Summary: This paper investigates the dynamics of a predator-prey system under Markov-switching-induced stochastic P-bifurcation. The research establishes a probability-weighted system to approximate the original stochastic switching ecosystem and addresses the stationary distribution and first-passage problems theoretically. Stochastic bifurcations are discussed by examining the qualitative change of the stationary probability density, which indicates that the transition rate matrix of Markov switching acts as a bifurcation parameter. Furthermore, the study explores the dynamic balance using the first-passage theory and reveals that the Markov switching can maintain or improve the stability of species coexistence.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Biology
Tao Wen, Eugene Koonin, Kang Hao Cheong
Summary: The study suggests that dormancy can be an effective adaptive strategy to outcompete actively prey, replicating the game-theoretic Parrondo's paradox where two losing strategies combine to achieve a winning outcome. Species with the ability to switch between active and dormant forms can dominate communities through competitive exclusion.
Article
Mathematics
Weili Kong, Yuanfu Shao
Summary: In this paper, a stochastic predator-prey model incorporating white noise, Holling-type II functional response, and regime switching is formulated. By establishing suitable functionals, the criteria for stationary distribution and stochastic permanence are derived. Numerical simulations are used to illustrate the results and analyze the impact of regime switching on the dynamics.
JOURNAL OF MATHEMATICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Shangzhi Li, Shangjiang Guo
Summary: A new method is introduced to analyze the stochastic permanence and extinction of a stochastic predator-prey model with a general functional response. The study investigates the existence of a stationary distribution and the impact of white noises on the predator and prey populations. Numerical simulations show that appropriate intensities of white noises can lead to population fluctuations, while too large intensities may cause extinction.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mathematics, Applied
Alexandru Hening, Dang H. Nguyen, Nhu Nguyen, Harrison Watts
Summary: In this study, the long-term dynamics of two prey species and one predator species are investigated. The deterministic behavior of this system is well known when assuming Lotka-Volterra type interactions. However, nature is usually characterized by random environmental fluctuations, which are incorporated into the study. It is shown that random switching of environmental states can lead to interesting phenomena, including facilitation of coexistence that is impossible in each environmental state and loss of species even when coexistence is present in each state. The study examines how predators and environmental fluctuations can mediate coexistence among competing species.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2023)
Article
Biochemistry & Molecular Biology
Chiaki Kambayashi, Ryosuke Kakehashi, Yusuke Sato, Hideaki Mizuno, Hideyuki Tanabe, Andolalao Rakotoarison, Sven Kunzel, Nobuaki Furuno, Kazuhiko Ohshima, Yoshinori Kumazawa, Zoltan T. Nagy, Akira Mori, Allen Allison, Stephen C. Donnellan, Hidetoshi Ota, Masaki Hoso, Tetsuya Yanagida, Hiroshi Sato, Miguel Vences, Atsushi Kurabayashi
Summary: This study discovered a unique pattern of horizontal gene transfer in vertebrates, with genes being transferred from predators to their prey. The research also found that horizontal gene transfer of BovB is highly prevalent in Madagascar, potentially facilitated by parasite vectors. Additionally, the study found that horizontal gene transfer occurred in frog lineages after migration from Africa to Madagascar.
MOLECULAR BIOLOGY AND EVOLUTION
(2022)
Article
Ecology
Shane L. Hogle, Iina Hepolehto, Lasse Ruokolainen, Johannes Cairns, Teppo Hiltunen, Jonathan Chase
Summary: Modifying intraspecific trait diversity can alter competitive hierarchies between different species, leading to competitive exclusion. This competitive outcome is driven by foraging traits and has significant impacts on prey community assembly.
Article
Mathematics, Applied
Debarghya Pattanayak, Arindam Mishra, Syamal K. Dana, Nandadulal Bairagi
Summary: This study revisits a tri-trophic resource-consumer-predator food chain model, showing bistability and the transition to monostability through a border collision. The authors emphasize analyzing the system from the perspective of basin stability, providing additional and precise information, studying the range of stability states, and changes in the geometry of basins of attraction during transitions. Additionally, the presence of down-up control is demonstrated, in addition to traditional bottom-up and top-down control phenomena in the food chain.
Article
Biodiversity Conservation
Robert J. Lennox, Jacob W. Brownscombe, Chris Darimont, Andrij Horodysky, Taal Levi, Graham D. Raby, Steven J. Cooke
Summary: Human predators exploit animals at high rates, targeting different age classes and phenotypes. They have significant ecological and evolutionary impacts and can replace wild predators in maintaining ecosystem services. Poorly managed human activities can harm ecosystems and human well-being.
Article
Computer Science, Interdisciplinary Applications
Sangeeta Saha, Debgopal Sahoo, Guruprasad Samanta
Summary: In the context of foraging behaviour, a species can be classified as a generalist or a specialist based on the breadth of their diet. Specialist species have a restricted diet and occupy a much narrower niche, whereas generalist species consume a wide range of resources and thrive in a variety of habitats. Our analyses reveal that the only species that may suffer extinction possibility are the specialist predators.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Biodiversity Conservation
Adam F. A. Pellegrini, Jacob B. Socolar, Paul R. Elsen, Xingli Giam
GLOBAL CHANGE BIOLOGY
(2016)
Letter
Ecology
Jacob B. Socolar, James J. Gilroy, William E. Kunin, David P. Edwards
TRENDS IN ECOLOGY & EVOLUTION
(2016)
Review
Ecology
Jacob B. Socolar, James J. Gilroy, William E. Kunin, David P. Edwards
TRENDS IN ECOLOGY & EVOLUTION
(2016)
Article
Multidisciplinary Sciences
Jacob B. Socolar, Peter N. Epanchin, Steven R. Beissinger, Morgan W. Tingley
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2017)
Article
Ornithology
Jacob B. Socolar, Juan Diaz-Alvan, Percy Saboya Del Castillo, Lars Y. Pomara, Brian J. O'Shea, Susana Cubas Poclin, Douglas Stotz, Fabrice Schmitt, Devon Graham, Blaine H. Carnes, Ernesto Ruelas Inzunza
WILSON JOURNAL OF ORNITHOLOGY
(2018)
Article
Ornithology
S. Jacob Socolar, Scott K. Robinson, John Terborgh
Article
Biodiversity Conservation
Jacob B. Socolar, Elvis H. Valderrama Sandoval, David S. Wilcove
CONSERVATION BIOLOGY
(2019)
Article
Biology
Jacob B. Socolar, David S. Wilcove
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
(2019)
Article
Ecology
Casey Youngflesh, Jacob Socolar, Bruna R. Amaral, Ali Arab, Robert P. Guralnick, Allen H. Hurlbert, Raphael LaFrance, Stephen J. Mayor, David A. W. Miller, Morgan W. Tingley
Summary: Data from citizen science observations on bird migration in eastern North America show that the timing of spring arrival of migratory birds is correlated with changes in vegetation green-up, but the sensitivity of different species varies based on their migratory strategies. Understanding how and why species differ in their ability to adjust to phenological events is crucial for predicting their vulnerability to climate change.
NATURE ECOLOGY & EVOLUTION
(2021)
Article
Environmental Sciences
Jorgen S. Saebo, Jacob B. Socolar, Edicson P. Sanchez, Paul Woodcock, Christopher G. Bousfield, Claudia A. M. Uribe, David P. Edwards, Torbjorn Haugaasen
Summary: The rapid development of remote sensing and LiDAR technology has improved estimates of tree architecture and biomass extrapolation. However, current biomass maps show discrepancies and do not match independent ground data. This study investigates the impact of wood specific gravity (WSG) on above-ground biomass (AGB) distribution across different scales. The results suggest that accounting for spatial variation in WSG can significantly improve biomass estimates, calling for further research on the spatial distribution of WSG and potential environmental predictors for accurate large-scale mapping of biomass.
ENVIRONMENTAL RESEARCH LETTERS
(2022)
Letter
Multidisciplinary Sciences
Orin J. Robinson, Jacob B. Socolar, Erica F. Stuber, Tom Auer, Alex J. Berryman, Philipp H. Boersch-Supan, Donald J. Brightsmith, Allan H. Burbidge, Stuart H. M. Butchart, Courtney L. Davis, Adriaan M. Dokter, Adrian S. Di Giacomo, Andrew Farnsworth, Daniel Fink, Wesley M. Hochachka, Paige E. Howell, Frank A. La Sorte, Alexander C. Lees, Stuart Marsden, Robert Martin, Rowan O. Martin, Juan F. Masello, Eliot T. Miller, Yoshan Moodley, Andy Musgrove, David G. Noble, Valeria Ojeda, Petra Quillfeldt, J. Andrew Royle, Viviana Ruiz-Gutierrez, Jose L. Tella, Pablo Yorio, Casey Youngflesh, Alison Johnston
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Ecology
Jacob B. Socolar, Simon C. Mills, Torbjorn Haugaasen, James J. Gilroy, David P. Edwards
Summary: Ecologists use survey data to infer patterns of species occurrence and community structure. This study introduces a biogeographic multi-species occupancy model (bMSOM) that incorporates preexisting range information to overcome the challenge of considering complex spatial effects at large scales. Compared to traditional MSOMs, the bMSOM provides significantly better predictive performance and avoids spatial biases. It allows principled inference for never-observed species and enables partial pooling of information across species in large-scale models.
ECOLOGY AND EVOLUTION
(2022)
Article
Ecology
Bethanne Bruninga-Socolar, Jacob B. Socolar, Sabine Konzmann, Klaus Lunau
Summary: In pollen-limited plant communities, pollinator foraging behavior plays a crucial role in determining the coexistence and competitive exclusion of plant species. However, empirical studies and simulation models suggest that strong specialization in individual foraging paths is required for promoting coexistence, which is rare in diverse plant communities. Although individual-level specialization exists, it is not sufficient to substantially impact coexistence dynamics. Therefore, pollinator-mediated coexistence is likely to be rare in diverse plant communities.
ECOLOGY AND EVOLUTION
(2023)
Article
Ornithology
Juan Diaz-Alvan, Jacob B. Socolar, Jose Alvarez Alonso
ORNITOLOGIA NEOTROPICAL
(2017)
