Science AI Journal
Medicine · Research topic

Open research questions in Mathematical and Theoretical Epidemiology and Ecology Models

155 gap statements mined from Mathematical and Theoretical Epidemiology and Ecology Models papers in our 4.5M-paper local library, which holds 1,215 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

Choosing where to publish on Mathematical and Theoretical Epidemiology and Ecology Models? See the ranked Medicine journals.

What the literature leaves open

  • Future work may address these by developing formal analytical proofs for the bifurcation boundaries or extending the framework to incorporate environmental stochasticity and time delays to further explore the robustness of the observed oscillatory regimes.

    Dynamics of Predator-Prey Model with Holling Type II Involving Predator Stage-Structured and Cannibalism · 2026 · DOI

  • Future studies should extend this model to include climate-dependent parameters, such as temperature-driven growth rates or rainfall-influenced carrying capacities. Such extensions can help understand the impact of climate change on food-chain stability, particularly for temperature-sensitive species. Real-world ecological systems experience random fluctuations and memory effects.

    Stability and Coexistence in an Improved Three-Species Predator–Prey System with Logistic Growth and Nonlinear Interactions · 2026 · DOI

  • Future research should examine the dynamics of other types of epidemic models. The impact of different transmission mechanisms on disease dynamics should be investigated.

    On the dynamics of a diffusive SEIRS epidemic model · 2026 · DOI

  • The literature lacks a comprehensive understanding of the dynamics of diffusive SEIRS epidemic models with mass-action incidence mechanisms.

    On the dynamics of a diffusive SEIRS epidemic model · 2026 · DOI

  • Prior work has not fully considered the impact of migration strategies on disease dynamics and transmission patterns.

    Effects of host migration and travel loss on strain competition in a two-patch SIR model · 2026 · DOI

  • The lack of data on the spread of racism. The difficulty in accounting for other factors that may influence the spread of racism.

    Modeling and Analysis of the Spread of Racism in the Community with Optimal Control Strategy · 2026 · DOI

  • To develop more complex models that account for other factors that may influence the spread of racism. To apply the optimal control strategy to other social issues, such as the spread of diseases or misinformation. To conduct further studies on the effectiveness of the optimal control strategy in different communities.

    Modeling and Analysis of the Spread of Racism in the Community with Optimal Control Strategy · 2026 · DOI

  • Future research can focus on applying the results to various fields, including engineering, physical sciences, and biological systems. Future research can aim to extend the partial (cross) monotone iteration method to more general systems.

    Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity · 2026 · DOI

  • Future research can build on the paper's findings to develop more effective vaccination strategies. Future research can also explore the application of the paper's results to other diseases.

    On Multi-Group Chickenpox Mathematical Epidemic Models with Effective Vaccination and Re-Infection Challenges · 2026 · DOI

  • The model needs to account for the spatial dynamics of host resources. The model needs to evaluate the effectiveness of different control measures.

    Spatiotemporal evolution of a pine wilt disease model integrating infectious disease transmission and predator–prey interactions · 2026 · DOI

  • Future research could focus on the development of more effective biological control strategies. The study of the impact of environmental factors on the propagation dynamics of yellows viruses could also be explored.

    Propagation dynamics of reaction-diffusion systems in sugar beet agro-ecosystems · 2026 · DOI

  • Future research can focus on estimating the parameters of the model from real data. The model can be extended to consider more complex scenarios. The results of the paper can be used to inform public health policy.

    Mathematical Modeling for the Spread and Control of Infectious Diseases by Spread of Awareness in Human Population · 2026 · DOI

  • There is a need to understand the effect of awareness programs on the spread of diseases. The existing models do not consider the effect of awareness programs. The paper fills this gap by proposing a new mathematical model.

    Mathematical Modeling for the Spread and Control of Infectious Diseases by Spread of Awareness in Human Population · 2026 · DOI

  • Future research should focus on evaluating the impact of the RTS,S/AS01 vaccine in different settings and populations. Future research should also focus on developing more realistic models that incorporate factors such as vector control and human behavior.

    A Mathematical Model for Malaria Transmission Dynamics with Vaccination as a Control Variable in Children Under Five Years of Age · 2026 · DOI

  • Numerical simulations are consistent with the Hopf bifurcation being supercritical, though formal analytical verification of the transversality condition remains an open problem. Whether E6 is a global attractor remains an open question, as the present analysis is restricted to local stability in a neighborhood of the equilibrium.

    Stability Analysis of a Predator-Prey Model with Disease in Prey, Predator Harvesting, and Internal Migration of Susceptible Prey in a Closed Ecosystem · 2026 · DOI

  • Future research should investigate the application of the study's findings to real-world ecosystems. Future research should examine the effects of other factors on the system's behavior. Future research should develop more complex models to capture the dynamics of predator-prey systems.

    Spatio-temporal dynamics of a food chain model featuring Allect effect on prey’s growth and sexually reproducing top predators · 2026 · DOI

  • The study aims to address the lack of research on the system's sensitivity to variations in the half-saturation constant.

    Spatio-temporal dynamics of a food chain model featuring Allect effect on prey’s growth and sexually reproducing top predators · 2026 · DOI

  • The dynamics of interactions between the three trophic levels in rice field ecosystems are not well understood. There is a need for a theoretical basis for sustainable planthopper pest control strategies.

    Stability Analysis of a Three-Trophic Rice Ecosystem with Holling II and Crowley–Martin Responses · 2026 · DOI

  • The paper does not provide explicit conditions on the magnitude of travel loss parameters (εS_ij, εI_ij) required to prevent strain invasion across patches or to guarantee exclusion of the less-competitive strain, leaving practical thresholds for disease control interventions unspecified.

    Effects of host migration and travel loss on strain competition in a two-patch SIR model · 2026 · DOI

  • To incorporate other factors that may affect the spread of pine wilt disease. To develop more effective management strategies for pine wilt disease.

    Spatiotemporal evolution of a pine wilt disease model integrating infectious disease transmission and predator–prey interactions · 2026 · DOI

  • Investigate the effect of varying τ on the asymptotic spreading speed c*, - Explore the application of the model to different types of diseases, - Develop more complex models that incorporate additional factors such as vaccination…

    Asymptotic Behavior of Solutions to Delayed Nonlinear Integral Equations Influenced by Growth Rates and Time Delays · 2026 · DOI

  • The paper identifies a gap in the study of systems with delays. The paper aims to extend the partial (cross) monotone iteration method to systems satisfying a partial quasi-monotone condition.

    Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity · 2026 · DOI

  • The paper identifies a gap in the understanding of multi-age group chickenpox epidemic models with effective vaccination. The paper aims to fill this gap by providing a stability analysis of the disease-free and endemic equilibrium points.

    On Multi-Group Chickenpox Mathematical Epidemic Models with Effective Vaccination and Re-Infection Challenges · 2026 · DOI

  • The study identifies a gap in the understanding of the propagation dynamics of yellows viruses in sugar beet agro-ecosystems. The paper aims to fill this gap by analyzing the spreading characteristics of infected hosts and infected vectors.

    Propagation dynamics of reaction-diffusion systems in sugar beet agro-ecosystems · 2026 · DOI

  • The paper identifies a research gap in the evaluation of the population-level impact of the RTS,S/AS01 vaccine under realistic coverage, vaccine waning, and continued vector exposure. The paper also identifies a research gap in the development of models to simulate malaria transmission dynamics with vaccination as a control variable.

    A Mathematical Model for Malaria Transmission Dynamics with Vaccination as a Control Variable in Children Under Five Years of Age · 2026 · DOI

Most-cited papers in Mathematical and Theoretical Epidemiology and Ecology Models

Most recent work

Find a gap in your own Mathematical and Theoretical Epidemiology and Ecology Models sub-topic

This page shows what the Mathematical and Theoretical Epidemiology and Ecology Models literature already flags as unresolved. To narrow it to your specific question, search the Research Gap Finder: the search is free with a free account and lists the papers closest to your topic first. Unlocking that topic (50 credits, charged once) fills the comparison table from our 4.5M-paper local library and writes the gaps from its rows.

Open the Research Gap Finder →

Related topics in Medicine

Artificial Intelligence in Healthcare and Education
2,304 open questions
Substance Abuse Treatment and Outcomes
1,956 open questions
Dementia and Cognitive Impairment Research
1,232 open questions
Ferroptosis and cancer prognosis
1,146 open questions
Liver Disease Diagnosis and Treatment
1,049 open questions
Smoking Behavior and Cessation
1,025 open questions
Physical Activity and Health
1,002 open questions
Attention Deficit Hyperactivity Disorder
982 open questions
Open questions raised by papers listed on this page include: (1) Future research should examine the dynamics of other types of epidemic models (“On the dynamics of a diffusive SEIRS epidemic model”, 2026); (2) Future research can focus on applying the results to various fields, including engineering, physical sciences, and biological systems (“Existence of Traveling Waves of Lotka Volterra Type Models with Delayed…”, 2026); (3) Future research can build on the paper's findings to develop more effective vaccination strategies (“On Multi-Group Chickenpox Mathematical Epidemic Models with Effective…”, 2026); (4) Future research could focus on the development of more effective biological control strategies (“Propagation dynamics of reaction-diffusion systems in sugar beet agro-ecosystems”, 2026); (5) Future research can focus on estimating the parameters of the model from real data (“Mathematical Modeling for the Spread and Control of Infectious Diseases by…”, 2026). 155 gap statements have been mined from Mathematical and Theoretical Epidemiology and Ecology Models papers in our 4.5M-paper local library, which holds 1,215 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

Tools for your next paper

Gaps & Literature SearchFind open questions in any field — 120,000+ open gaps mined from our own library.Pre-CheckIs your paper ready? Acceptance odds for top, mid and open/emerging journals, in seconds.Journal FinderA ranked shortlist of target journals from a 17,500-venue index.Duplicate Publication CheckerCheck for prior publication across 7 sources and our local library.Citation GeneratorFreeA DOI or title → APA, MLA, Vancouver, Chicago, BibTeX, RIS. No signup.Graphical Abstract MakerFreeTurn your findings into a colorblind-safe graphical abstract.

How Pre-Check worksHow AI Review works

Compare the category — Honest roundups of the AI research tools, ours listed alongside the alternatives.

Command palette

Jump anywhere, run any action.