Persistent solutions in a model for parasitic infections

DOI10.1007/BF00288434zbMath0716.92022OpenAlexW2315913076WikidataQ52543015 ScholiaQ52543015MaRDI QIDQ753720

Mirjam E. E. Kretzschmar

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00288434

zbMATH Keywords

stabilityfertilitybifurcationsExistenceexponential growthmortalityhost-parasite systemsage structurepersistent solutionshost populationslinear multitype birth-death- processparasitic diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of branching processes (60J85) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies ⋮ Backward bifurcation in epidemic control ⋮ Kolmogorov's differential equations and positive semigroups on first moment sequence spaces ⋮ Hybrid models for helminth infections with special reference to onchocerciasis ⋮ A renewal equation with a birth-death process as a model for parasitic infections ⋮ Persistent solutions in a model for parasitic infections ⋮ Patterns in the effects of infectious diseases on population growth

Cites Work

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• Models for pair formation in bisexual populations
• Persistent solutions in a model for parasitic infections
• Population dynamics of killing parasites which reproduce in the host
• Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations

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