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Related Concept Videos

Migration00:53

Migration

Migration is long-range, seasonal movement from one region or habitat to another. This common strategy, carried out by many different organisms around the world, is an adaptive response that typically corresponds to changes in an organism’s environment, like resource availability or climate. Migrations can involve huge groups of thousands of animals as well as single individuals traveling alone and can range from thousands of kilometers to just a few hundred meters.
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Perception

Perception is a fundamental psychological process that enables individuals to organize, interpret, and consciously experience sensory information. This process is crucial for understanding and interacting with the world around us. It includes both bottom-up and top-down processing, each playing a distinct role in how we perceive our environment.
Bottom-up processing begins at the sensory level, where receptors detect external environmental stimuli. These could include the tactile sensation of...
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Biological Clocks and Seasonal Responses

The circadian—or biological—clock is an intrinsic, timekeeping, molecular mechanism that allows plants to coordinate physiological activities over 24-hour cycles called circadian rhythms. Photoperiodism is a collective term for the biological responses of plants to variations in the relative lengths of dark and light periods. The period of light-exposure is called the photoperiod.
Schemas01:42

Schemas

A schema is a mental construct consisting of a cluster or collection of related concepts (Bartlett, 1932). There are many different types of schemata, and they all have one thing in common: schemata are a method of organizing information that allows the brain to work more efficiently. When a schema is activated, the brain makes immediate assumptions about the person or object being observed.
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Introducing Social Perception01:29

Introducing Social Perception

Perceiving others accurately is fundamental to effective communication and relationship-building. Social perception, a key concept in social psychology, refers to the cognitive processes through which individuals gather and interpret information about others to understand their actions, intentions, and motivations. This process extends beyond spoken words and overt behaviors, incorporating subtle nonverbal cues and contextual factors.Nonverbal Cues and Their SignificanceNonverbal cues play a...

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A perception-memory PDE framework for seasonal migration dynamics.

Qi An1,2, Xiunan Wang3, Pinar Baydemir4,5

  • 1Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, 210044, P.R. China.

Journal of Mathematical Biology
|July 4, 2026
PubMed
Summary
This summary is machine-generated.

This study models animal seasonal migration, revealing how perception and memory balance to maintain stable routes despite environmental changes. Understanding these cognitive processes is crucial for predicting migration persistence.

Keywords:
Cognitive movement ecologyGlobal stabilityMemory-driven movementNonlocal perceptionPeriodic solutionsSeasonal migration

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Area of Science:

  • Mathematical Biology
  • Ecology
  • Animal Behavior

Background:

  • Seasonally migrating animals face unpredictable environments due to climate change and human activity.
  • Cognitive functions like perception and memory are vital for migration, but their combined role is not well understood.

Purpose of the Study:

  • To develop and analyze a novel mathematical model of seasonal migration.
  • To investigate the interplay of perception and memory in sustaining stable migratory patterns.

Main Methods:

  • Developed a partial differential equation (PDE) model coupling random dispersal with perception- and memory-driven taxis.
  • Established global well-posedness and analyzed for time-periodic solutions using Leray-Schauder degree theory.
  • Derived conditions for stability using a Lyapunov-Krasovskii functional and conducted numerical simulations.

Main Results:

  • Proved the existence, uniqueness, and boundedness of solutions for the migration model.
  • Demonstrated the existence of at least one time-periodic solution synchronized with seasonal resource shifts.
  • Identified a trade-off between perception, memory, and dispersal affecting migration stability and revealed factors governing migration efficiency.

Conclusions:

  • The study provides a rigorous theoretical framework for understanding seasonal migration dynamics.
  • Cognitive processes, specifically the balance of perception and memory, are critical for the emergence and stability of migration routes.
  • The model highlights how environmental changes can disrupt established migratory patterns.