A minimal model for multiple epidemics and immunity spreading
Kim Sneppen1, Ala Trusina, Mogens H Jensen
1Niels Bohr Institute/CMOL, Copenhagen, Denmark. sneppen@nbi.dk
Abstract:
Pathogens and parasites are ubiquitous in the living world, being limited only by availability of suitable hosts. The ability to transmit a particular disease depends on competing infections as well as on the status of host immunity. Multiple diseases compete for the same resource and their fate is coupled to each other. Such couplings have many facets, for example cross-immunization between related influenza strains, mutual inhibition by killing the host, or possible even a mutual catalytic effect if host immunity is impaired. We here introduce a minimal model for an unlimited number of unrelated pathogens whose interaction is simplified to simple mutual exclusion. The model incorporates an ongoing development of host immunity to past diseases, while leaving the system open for emergence of new diseases. The model exhibits a rich dynamical behavior with interacting infection waves, leaving broad trails of immunization in the host population. This obtained immunization pattern depends only on the system size and on the mutation rate that initiates new diseases.
Insights
This study models how multiple pathogens interact within a host population. It reveals that host immunity and pathogen competition create complex infection dynamics and immunization patterns.
Area of Science:
- Epidemiology
- Theoretical Biology
- Immunology
Background:
- Pathogens and parasites are widespread, with disease transmission influenced by host immunity and competition from other infections.
- Interactions between diseases can include cross-immunization, host mortality, or synergistic effects when host immunity is compromised.
Purpose of the Study:
- To introduce a minimal mathematical model for the dynamics of numerous unrelated pathogens.
- To investigate how host immunity develops against past diseases while new diseases emerge.
- To analyze the resulting complex interactions and immunization patterns within a host population.
Main Methods:
- Developed a minimal mathematical model for pathogen-host interactions.
- Simulated a scenario with an unlimited number of unrelated pathogens.
- Incorporated evolving host immunity and the emergence of new diseases.
Main Results:
- The model demonstrated rich dynamical behavior with interacting infection waves.
- Observed that these dynamics leave broad immunization trails in the host population.
- Found that the resulting immunization pattern is determined by system size and mutation rate.
Conclusions:
- Host immunity and pathogen competition create complex, coupled infection dynamics.
- A minimal model can capture essential features of multi-pathogen systems.
- Emergent immunization patterns are a predictable outcome of these interactions.
More Related Videos
09:02An Experimental Model to Study Tuberculosis-Malaria Coinfection upon Natural Transmission of Mycobacterium tuberculosis and Plasmodium berghei
Published on: February 17, 2014
10:11Modeling The Lifecycle Of Ebola Virus Under Biosafety Level 2 Conditions With Virus-like Particles Containing Tetracistronic Minigenomes
Published on: September 27, 2014
Related Concept Videos
Modeling with Differential Equations
Infectious Diseases and Their Occurrence
Steps in Outbreak Investigation
Models of Health Promotion and Illness Prevention II
The agent-host-environment model states that disease results from...
Causality in Epidemiology
Exponential Equations for Modeling Growth
