Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey
From MaRDI portal
Publication:821863
DOI10.1016/j.apm.2020.06.040zbMath1481.92101OpenAlexW3039698858WikidataQ115587169 ScholiaQ115587169MaRDI QIDQ821863
Publication date: 21 September 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.06.040
Epidemiology (92D30) Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58)
Related Items
Optimal control strategies for an ecological model including infection and competition, Dynamics of a delayed predator-prey system with fear effect, herd behavior and disease in the susceptible prey, Analysis of an optimal control problem for a spatio‐temporal SIR model with nonlinear density dependent diffusion terms, Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators, Optimal social distancing through cross-diffusion control for a disease outbreak PDE model, An eco‐epidemiological model with general functional response of predator to prey, An optimal treatment strategy for a leukemia immune model governed by reaction-diffusion equations, Optimal control problem for a general reaction-diffusion tumor-immune system with chemotherapy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Permanence and periodic solutions for an impulsive reaction-diffusion food-chain system with ratio-dependent functional response
- Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics
- Optimal control problem for an ecosystem with two competing preys and one predator
- A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
- Infectious disease modeling. A hybrid system approach
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Analysis of a prey-predator model with disease in prey
- Necessary optimality conditions for three species reaction-diffusion system
- Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response
- Patterns in the effects of infectious diseases on population growth
- An impulsive ratio-dependent \(n+1\)-species predator-prey model with diffusion
- Modelling a predator-prey system with infected prey in polluted environment
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- A qualitative study of a vaccination model with non-linear incidence
- Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system
- Optimal control strategies for a new ecosystem governed by reaction-diffusion equations
- Pattern formation of a diffusive eco-epidemiological model with predator-prey interaction
- Optimal control strategies for a reaction-diffusion epidemic system
- Stability and bifurcation of a predator-prey model with disease in the prey and temporal-spatial nonlocal effect
- A ratio-dependent predator-prey model with disease in the prey
- Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods
- An optimal control problem for a two-prey and one-predator model with diffusion
- Dynamic analysis of a reaction-diffusion impulsive hybrid system
- Stability analysis of predator-prey system with migrating prey and disease infection in both species
- Optimal control and pattern formation for a haptotaxis model of solid tumor invasion
- Strong Allee effect in a diffusive predator-prey system with a protection zone
- Permanence and stability of a diffusive predator-prey model with disease in the prey
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- The Mathematics of Infectious Diseases
- Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
- On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
- Analysis of a nonautonomous eco‐epidemic diffusive model with disease in the prey
- Infection in prey population may act as a biological control in ratio-dependent predator–prey models
