一个离散的浮游生物系统的稳定性和分支分析,其中包含II型掠食和毒素效应
Abdou Al Zubaidi1, Muhammad Rafaqat2, Jihad Younis3
1Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia.
Journal of biological dynamics
|February 5, 2026
概括
这项研究模拟了离散时间浮游生物的动态,揭示了毒素和污染如何触发不稳定的种群和不规则的藻类繁殖. 离散模型有效地捕捉生态系统的变化,为开花管理策略提供信息.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 环境科学 环境科学
背景情况:
- 浮游生物种群对水生生态系统至关重要.
- 毒素和外部污染可以破坏浮游生物的动态.
- 了解这些干扰是管理有害藻类繁殖的关键.
研究的目的:
- 分析离散时间浮游生物相互作用模型的动态.
- 调查毒素生成和外部污染对浮游生物种群的影响.
- 探索导致尼马克-萨克双叉和准周期性振荡的条件.
主要方法:
- 开发一个离散时间浮游生物模型,包括霍林类型II掠食.
- 对于离散分析,应用一条式常数论证方法.
- 使用稳定性分析和数值模拟来研究人口动态.
主要成果:
- 证明了毒素积累和外部污染会破坏浮游生物种群的稳定.
- 确定了尼马克-萨克尔分叉作为人口密度准周期性振荡的机制.
- 展示了由于环境压力因素导致不规则藻类开花的潜力.
结论:
- 离散时间模型对于模拟快速的生态变化,如有害的藻类繁殖是有价值的.
- 毒素的积累和污染是导致浮游生物种群不稳定的重要因素.
- 研究结果为生态系统管理和减轻藻类繁殖的策略提供了洞察力.
关键词:
92-10-10 关于 92-10 的建议92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B05 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B09 92B10 这是一个非常重要的时间92B9999 它们是什么?92F0505 92F0505 92F05 的意思是什么意思离散的动力学是离散的.尼马克-萨克二叉路口是什么意思浮游生物系统的浮游生物系统.毒素的影响 毒素效应相关概念视频
Types of Toxins
3.7K
Humans continually engage with an environment rich in potentially harmful chemicals. These are introduced to our bodies through inhalation, ingestion, or skin contact. These chemicals exist in various forms, such as air and environmental pollutants, agricultural chemicals, organic solvents, and heavy metals.
Air pollutants, primarily gases, pose significant threats to respiratory health, leading to conditions like hypoxia, lung cancer, and in extreme cases, death.
Environmental pollutants like...
Air pollutants, primarily gases, pose significant threats to respiratory health, leading to conditions like hypoxia, lung cancer, and in extreme cases, death.
Environmental pollutants like...
3.7K
Predator-Prey Interactions
21.7K
Predators consume prey for energy. Predators that acquire prey and prey that avoid predation both increase their chances of survival and reproduction (i.e., fitness). Routine predator-prey interactions elicit mutual adaptations that improve predator offenses, such as claws, teeth, and speed, as well as prey defenses, including crypsis, aposematism, and mimicry. Thus, predator-prey interactions resemble an evolutionary arms race.
21.7K
BIBO stability of continuous and discrete -time systems
941
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....
941
Discrete Fourier Transform
913
The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
913
Nuclear Stability
23.3K
Protons and neutrons, collectively called nucleons, are packed together tightly in a nucleus. With a radius of about 10−15 meters, a nucleus is quite small compared to the radius of the entire atom, which is about 10−10 meters. Nuclei are extremely dense compared to bulk matter, averaging 1.8 × 1014 grams per cubic centimeter. If the earth’s density were equal to the average nuclear density, the earth’s radius would be only about 200 meters.
To hold positively charged protons together...
To hold positively charged protons together...
23.3K
Types of Hormones
83.7K
Hormones can be classified into three main types based on their chemical structures: steroids, peptides, and amines. Their actions are mediated by the specific receptors they bind to on target cells.
83.7K


