对于非自主非密集定义的进化问题,增长边界和值动态.
Ramsès Djidjou-Demasse1,2, Ibou Goudiaby3, Ousmane Seydi4
1MIVEGEC, CNRS, IRD, University of Montpellier, Montpellier, France.
Journal of mathematical biology
|July 21, 2023
概括
这项研究引入了一种新的框架,用于使用Hille-Yosida运营商来确定人口增长的门和边界. 该方法应用于各种模型,包括年龄结构,延迟差异和疟疾动态.
科学领域:
- 数学生物学 数学生物学
- 动态系统 动态系统
- 功能分析是一种功能分析.
背景情况:
- 人口动态建模通常需要了解增长门和边界.
- 由线性运算符生成的进化家族对于分析微分方程至关重要.
- 周期性强迫和操作者属性使人口增长的分析变得复杂.
研究的目的:
- 开发一个统一的框架来计算人口增长值.
- 为了确定进化家族的生长边缘的标志.
- 将这个框架应用于各种人口模型.
主要方法:
- 在巴纳赫空间上使用Hille-Yosida线性运算符 (潜在无边界和非密度定义).
- 在运算符规范拓中分析p周期和连续图.
- 开发一种通用方法,用于同时计算值和增长束的标志.
主要成果:
- 建立了一个分析人口增长门和边界的一般框架.
- 该方法已成功应用于年龄结构模型和延迟差分系统.
- 该框架还用于非本地人口遗传学和结构化人类载体疟疾模型.
结论:
- 拟议的框架为分析人口动态提供了一个强大的方法.
- 它提供了一种统一的方法,适用于广泛的结构化人口模型.
- 这项工作推进了对复杂系统中人口增长的数学理解.
相关概念视频
Limits to Natural Selection
31.4K
Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.
31.4K
BIBO stability of continuous and discrete -time systems
439
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
439
Current Growth And Decay In RL Circuits
3.9K
The current growth and decay in RL circuits can be understood by considering a series RL circuit consisting of a resistor, an inductor, a constant source of emf, and two switches. When the first switch is closed, the circuit is equivalent to a single-loop circuit consisting of a resistor and an inductor connected to a source of emf. In this case, the source of emf produces a current in the circuit. If there were no self-inductance in the circuit, the current would rise immediately to a steady...
3.9K
Genetic Drift
39.9K
Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.
39.9K
Entropy Change in Reversible Processes
2.6K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.6K
Cyclic Processes And Isolated Systems
2.8K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.8K


