Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19;365:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modeling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We ev...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19;365:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tum...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modelling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We evalu...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19;365:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tum...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modelling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We evalu...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tumor l...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modelling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We evalu...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tumor l...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modelling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We evalu...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tumor l...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion
Math Biosci. 2023 Sep 19:109075. doi: 10.1016/j.mbs.2023.109075. Online ahead of print.ABSTRACTUnderstanding how tipping points arise is critical for population protection and ecosystem robustness. This work evaluates the impact of environmental stochasticity on the emergence of tipping points in a predator-prey system subject to the Allee effect and Holling type IV functional response, modelling an environment in which the prey has high group cohesion. We analyze the relationship between stochasticity and the probability and time that predator and prey populations in our model tip between different steady states. We evalu...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Tao Feng Russell Milne Hao Wang Source Type: research
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment
Math Biosci. 2023 Sep 19:109072. doi: 10.1016/j.mbs.2023.109072. Online ahead of print.ABSTRACTThe CD200 is a cell membrane protein expressed by tumor cells, and its receptor CD200 receptor (CD200R) is expressed by immune cells including macrophages and dendritic cells. The formation of CD200-CD200R inhibits the cellular functions of the targeted immune cells, so CD200 is one type of the immune checkpoint and blockade CD200-CD200R formation is a potential cancer treatment. However, the CD200 blockade has opposite treatment outcomes in different types of cancers. For instance, the CD200R deficient mice have a higher tumor l...
Source: Mathematical Biosciences - September 21, 2023 Category: Statistics Authors: Kang-Ling Liao Kenton D Watt Tom Protin Source Type: research
Age structure, replicator equation, and the prisoner's dilemma
Math Biosci. 2023 Sep 14:109076. doi: 10.1016/j.mbs.2023.109076. Online ahead of print.ABSTRACTWe investigate the evolutionary dynamics of an age-structured population subject to weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified repli...
Source: Mathematical Biosciences - September 16, 2023 Category: Statistics Authors: Sona John Johannes M üller Source Type: research
Renewal equations for delayed population behaviour adaptation coupled with disease transmission dynamics: A mechanism for multiple waves of emerging infections
Math Biosci. 2023 Sep 14:109068. doi: 10.1016/j.mbs.2023.109068. Online ahead of print.ABSTRACTThere are many plausible reasons for recurrent outbreaks of emerging infectious diseases. In this paper, we develop a mathematical model to illustrate how population behavioural adaption and adaptation implementation delay, in response to the perceived infection risk, can lead to recurrent outbreak patterns. We consider the early phase of an infection outbreak when herd immunity is not reached, pathogen mutation is not considered, and seasonality is ruled out as a major contributor. We derive a transmission dynamics model coupled...
Source: Mathematical Biosciences - September 16, 2023 Category: Statistics Authors: Xue Zhang Francesca Scarabel Kumar Murty Jianhong Wu Source Type: research
Age structure, replicator equation, and the prisoner's dilemma
Math Biosci. 2023 Sep 14:109076. doi: 10.1016/j.mbs.2023.109076. Online ahead of print.ABSTRACTWe investigate the evolutionary dynamics of an age-structured population subject to weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified repli...
Source: Mathematical Biosciences - September 16, 2023 Category: Statistics Authors: Sona John Johannes M üller Source Type: research
