1. Modelling temperature-dependent dynamics of single and mixed infections in a plant virus
- Author
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Cristina Alcaide, Josep Sardanyés, Pedro Gómez, Santiago F. Elena, Generalitat de Catalunya, Ministerio de Economía y Competitividad (España), Ministerio de Economía, Industria y Competitividad (España), Agencia Estatal de Investigación (España), Ministerio de Ciencia, Innovación y Universidades (España), and European Commission
- Subjects
Abiotic component ,education.field_of_study ,biology ,Mathematical model ,Co-infection dynamics ,Applied Mathematics ,media_common.quotation_subject ,Population ,Transcritical bifurcations ,RNA virus ,Abiotic stress ,biology.organism_classification ,Competition (biology) ,Bifurcations ,Competition model ,Transcritical bifurcation ,Thermal reaction norms ,Evolutionary biology ,Nonlinear dynamics ,Modeling and Simulation ,Plant virus ,Dynamical systems ,education ,media_common - Abstract
Multiple viral infection is an important issue in health and agriculture with strong impacts on society and the economy. Several investigations have dealt with the population dynamics of viruses with different dynamic properties, focusing on strain competition during multiple infections and the effects on viruses’ hosts. Recent interest has been on how multiple infections respond to abiotic factors such as temperature (T). This is especially important in the case of plant pathogens, whose dynamics could be affected significantly by global warming. However, few mathematical models incorporate the effect of T on parasite fitness, especially in mixed infections. Here, we investigate simple mathematical models incorporating thermal reaction norms (TRNs), which allow for quantitative analysis. A logistic model is considered for single infections, which is extended to a Lotka-Volterra competition model for mixed infections. The dynamics of these two models are investigated, focusing on the roles of T-dependent replication and competitive interactions in both transient and asymptotic dynamics. We determine the scenarios of co-existence and competitive exclusion, which are separated by a transcritical bifurcation. To illustrate the applicability of these models, we ran single- and mixed-infection experiments in plants growing at 20º C and 30º C using two strains of the plant RNA virus Pepino mosaic virus. Using a macroevolutionary algorithm, we fitted the models to the data by estimating the TRNs for both strains in single infections. Then, we used these TRNs to feed the mixed-infection model estimating the strength of competition. We found an asymmetrical pattern in which each strain dominated at different T values due to differences in their TRNs. We also identified that T can modify competition interference greatly for both isolates. The models proposed here can be useful for investigating the outcomes of multiple-infection dynamics under abiotic changes and have implications for the understanding of viral responses to global warming., J.S. has been partially funded by the CERCA Program of the Generalitat de Catalunya, by the Ministry of Economy, Industry and Competitiveness (MINECO) grant MTM2015-71509-C2-1-R, by Agencia Estatal de Investigación (AEI) grant RTI2018-098322-B-I00, and by a Ramón y Cajal contract (RYC-2017-22243). C.A. was funded by the MINECO within a PhD program grant (FPU16/02569). This work was also supported by the AEI-FEDER grants AGL2014-59556-R and AGL2017-89550-R to P.G. and PID2019-103998GB-I00 to S.F.E.
- Published
- 2022
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