Mathematical model of rabies vaccination in the United States
Theor Popul Biol. 2024 Mar 21:S0040-5809(24)00032-7. doi: 10.1016/j.tpb.2024.03.004. Online ahead of print.ABSTRACTRabies is one of the oldest viral diseases and it has been present on every continent except Antarctica. Within the U.S. human rabies cases are quite rare. In the eastern USA, raccoons are the main reservoir hosts and pet vaccination serves as an important barrier against human rabies exposure. In this paper, we develop a compartmental model for rabies transmission amongst raccoons and domestic pets. We find the disease-free equilibria, reproduction numbers for the raccoons and domestic pets. We also determine...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Annalise Hassan Zoe A Tapp Dan K Tran Jan Rycht ář Dewey Taylor Source Type: research

Interconnection between density-regulation and stability in competitive ecological network
In this study, we examine the role of these different growth profiles on the stability of a competitive ecological community with the help of a mathematical model of competitive species interactions. This manuscript deals with the random matrix theory to understand the stability of the classical theta-logistic models of competitive interactions. Our results suggest that having more species with strong density dependence, which self-regulate at low densities, leads to more stable communities. With this, stability also depends on the complexity of the ecological network. Species network connectance (link density) shows a con...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Amit Samadder Arnab Chattopadhyay Anurag Sau Sabyasachi Bhattacharya Source Type: research

Mathematical model of rabies vaccination in the United States
Theor Popul Biol. 2024 Mar 21:S0040-5809(24)00032-7. doi: 10.1016/j.tpb.2024.03.004. Online ahead of print.ABSTRACTRabies is one of the oldest viral diseases and it has been present on every continent except Antarctica. Within the U.S. human rabies cases are quite rare. In the eastern USA, raccoons are the main reservoir hosts and pet vaccination serves as an important barrier against human rabies exposure. In this paper, we develop a compartmental model for rabies transmission amongst raccoons and domestic pets. We find the disease-free equilibria, reproduction numbers for the raccoons and domestic pets. We also determine...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Annalise Hassan Zoe A Tapp Dan K Tran Jan Rycht ář Dewey Taylor Source Type: research

Interconnection between density-regulation and stability in competitive ecological network
In this study, we examine the role of these different growth profiles on the stability of a competitive ecological community with the help of a mathematical model of competitive species interactions. This manuscript deals with the random matrix theory to understand the stability of the classical theta-logistic models of competitive interactions. Our results suggest that having more species with strong density dependence, which self-regulate at low densities, leads to more stable communities. With this, stability also depends on the complexity of the ecological network. Species network connectance (link density) shows a con...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Amit Samadder Arnab Chattopadhyay Anurag Sau Sabyasachi Bhattacharya Source Type: research

Mathematical model of rabies vaccination in the United States
Theor Popul Biol. 2024 Mar 21:S0040-5809(24)00032-7. doi: 10.1016/j.tpb.2024.03.004. Online ahead of print.ABSTRACTRabies is one of the oldest viral diseases and it has been present on every continent except Antarctica. Within the U.S. human rabies cases are quite rare. In the eastern USA, raccoons are the main reservoir hosts and pet vaccination serves as an important barrier against human rabies exposure. In this paper, we develop a compartmental model for rabies transmission amongst raccoons and domestic pets. We find the disease-free equilibria, reproduction numbers for the raccoons and domestic pets. We also determine...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Annalise Hassan Zoe A Tapp Dan K Tran Jan Rycht ář Dewey Taylor Source Type: research

Interconnection between density-regulation and stability in competitive ecological network
In this study, we examine the role of these different growth profiles on the stability of a competitive ecological community with the help of a mathematical model of competitive species interactions. This manuscript deals with the random matrix theory to understand the stability of the classical theta-logistic models of competitive interactions. Our results suggest that having more species with strong density dependence, which self-regulate at low densities, leads to more stable communities. With this, stability also depends on the complexity of the ecological network. Species network connectance (link density) shows a con...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Amit Samadder Arnab Chattopadhyay Anurag Sau Sabyasachi Bhattacharya Source Type: research

Mathematical model of rabies vaccination in the United States
Theor Popul Biol. 2024 Mar 21:S0040-5809(24)00032-7. doi: 10.1016/j.tpb.2024.03.004. Online ahead of print.ABSTRACTRabies is one of the oldest viral diseases and it has been present on every continent except Antarctica. Within the U.S. human rabies cases are quite rare. In the eastern USA, raccoons are the main reservoir hosts and pet vaccination serves as an important barrier against human rabies exposure. In this paper, we develop a compartmental model for rabies transmission amongst raccoons and domestic pets. We find the disease-free equilibria, reproduction numbers for the raccoons and domestic pets. We also determine...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Annalise Hassan Zoe A Tapp Dan K Tran Jan Rycht ář Dewey Taylor Source Type: research

Interconnection between density-regulation and stability in competitive ecological network
In this study, we examine the role of these different growth profiles on the stability of a competitive ecological community with the help of a mathematical model of competitive species interactions. This manuscript deals with the random matrix theory to understand the stability of the classical theta-logistic models of competitive interactions. Our results suggest that having more species with strong density dependence, which self-regulate at low densities, leads to more stable communities. With this, stability also depends on the complexity of the ecological network. Species network connectance (link density) shows a con...
Source: Theoretical Population Biology - March 23, 2024 Category: Biology Authors: Amit Samadder Arnab Chattopadhyay Anurag Sau Sabyasachi Bhattacharya Source Type: research

Neutral diversity in experimental metapopulations
Theor Popul Biol. 2024 Mar 15:S0040-5809(24)00020-0. doi: 10.1016/j.tpb.2024.02.011. Online ahead of print.ABSTRACTNew automated and high-throughput methods allow the manipulation and selection of numerous bacterial populations. In this manuscript we are interested in the neutral diversity patterns that emerge from such a setup in which many bacterial populations are grown in parallel serial transfers, in some cases with population-wide extinction and splitting events. We model bacterial growth by a birth-death process and use the theory of coalescent point processes. We show that there is a dilution factor that optimises ...
Source: Theoretical Population Biology - March 17, 2024 Category: Biology Authors: Guilhem Doulcier Amaury Lambert Source Type: research

Neutral diversity in experimental metapopulations
Theor Popul Biol. 2024 Mar 15:S0040-5809(24)00020-0. doi: 10.1016/j.tpb.2024.02.011. Online ahead of print.ABSTRACTNew automated and high-throughput methods allow the manipulation and selection of numerous bacterial populations. In this manuscript we are interested in the neutral diversity patterns that emerge from such a setup in which many bacterial populations are grown in parallel serial transfers, in some cases with population-wide extinction and splitting events. We model bacterial growth by a birth-death process and use the theory of coalescent point processes. We show that there is a dilution factor that optimises ...
Source: Theoretical Population Biology - March 17, 2024 Category: Biology Authors: Guilhem Doulcier Amaury Lambert Source Type: research

Neutral diversity in experimental metapopulations
Theor Popul Biol. 2024 Mar 15:S0040-5809(24)00020-0. doi: 10.1016/j.tpb.2024.02.011. Online ahead of print.ABSTRACTNew automated and high-throughput methods allow the manipulation and selection of numerous bacterial populations. In this manuscript we are interested in the neutral diversity patterns that emerge from such a setup in which many bacterial populations are grown in parallel serial transfers, in some cases with population-wide extinction and splitting events. We model bacterial growth by a birth-death process and use the theory of coalescent point processes. We show that there is a dilution factor that optimises ...
Source: Theoretical Population Biology - March 17, 2024 Category: Biology Authors: Guilhem Doulcier Amaury Lambert Source Type: research

Neutral diversity in experimental metapopulations
Theor Popul Biol. 2024 Mar 15:S0040-5809(24)00020-0. doi: 10.1016/j.tpb.2024.02.011. Online ahead of print.ABSTRACTNew automated and high-throughput methods allow the manipulation and selection of numerous bacterial populations. In this manuscript we are interested in the neutral diversity patterns that emerge from such a setup in which many bacterial populations are grown in parallel serial transfers, in some cases with population-wide extinction and splitting events. We model bacterial growth by a birth-death process and use the theory of coalescent point processes. We show that there is a dilution factor that optimises ...
Source: Theoretical Population Biology - March 17, 2024 Category: Biology Authors: Guilhem Doulcier Amaury Lambert Source Type: research

Neutral diversity in experimental metapopulations
Theor Popul Biol. 2024 Mar 15:S0040-5809(24)00020-0. doi: 10.1016/j.tpb.2024.02.011. Online ahead of print.ABSTRACTNew automated and high-throughput methods allow the manipulation and selection of numerous bacterial populations. In this manuscript we are interested in the neutral diversity patterns that emerge from such a setup in which many bacterial populations are grown in parallel serial transfers, in some cases with population-wide extinction and splitting events. We model bacterial growth by a birth-death process and use the theory of coalescent point processes. We show that there is a dilution factor that optimises ...
Source: Theoretical Population Biology - March 17, 2024 Category: Biology Authors: Guilhem Doulcier Amaury Lambert Source Type: research

Demographic inference for spatially heterogeneous populations using long shared haplotypes
Theor Popul Biol. 2024 Mar 14:S0040-5809(24)00028-5. doi: 10.1016/j.tpb.2024.03.002. Online ahead of print.ABSTRACTWe introduce a modified spatial Λ-Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sharp discontinuity of the dispersal rate and effective population density. We derive an analytical formula for the expected number of shared haplotype segments between two individuals depending on their sampling locations. This formula involves the transition density of a skew diffusion which appears as a scaling limit of the ancestral ...
Source: Theoretical Population Biology - March 16, 2024 Category: Biology Authors: Rapha ël Forien Harald Ringbauer Graham Coop Source Type: research

Demographic inference for spatially heterogeneous populations using long shared haplotypes
Theor Popul Biol. 2024 Mar 14:S0040-5809(24)00028-5. doi: 10.1016/j.tpb.2024.03.002. Online ahead of print.ABSTRACTWe introduce a modified spatial Λ-Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sharp discontinuity of the dispersal rate and effective population density. We derive an analytical formula for the expected number of shared haplotype segments between two individuals depending on their sampling locations. This formula involves the transition density of a skew diffusion which appears as a scaling limit of the ancestral ...
Source: Theoretical Population Biology - March 16, 2024 Category: Biology Authors: Rapha ël Forien Harald Ringbauer Graham Coop Source Type: research